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8th Edition

Charles P. McKeague + 1 other

Publisher: Cengage Learning

ISBN: 9781305652224

Chapter 1.1, Problem 36PS

Textbook Problem

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Problems 31 through 36 refer to right triangle *ABC* with

If
*a.*

To determine

To find the value of a.

**Given:**

**Formula used:**

If a and b are the two legs of right triangle with right angle at C, and c is the length of the hypotenuse, then

**Calculation:**

For the right triangle, we have,

Substitute the values

Trigonometry (MindTap Course List)

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Ch. 1.1 - For Questions 1 through 7, fill in each blank with...Ch. 1.1 - For Questions 1 through 7, fill in each blank with...Ch. 1.1 - For Questions 1 through 7, fill in each blank with...Ch. 1.1 - For Questions 1 through 7, fill in each blank with...Ch. 1.1 - For Questions 1 through 7, fill in each blank with...Ch. 1.1 - For Questions 1 through 7, fill in each blank with...Ch. 1.1 - For Questions 1 through 7, fill in each blank with...Ch. 1.1 - Match each term with the appropriate angle...Ch. 1.1 - Indicate which of the angles below are acute...Ch. 1.1 - Indicate which of the angles below are acute...

Ch. 1.1 - Indicate which of the angles below are acute...Ch. 1.1 - Indicate which of the angles below are acute...Ch. 1.1 - Indicate which of the angles below are acute...Ch. 1.1 - Indicate which of the angles below are acute...Ch. 1.1 - Indicate which of the angles below are acute...Ch. 1.1 - Indicate which of the angles below are acute...Ch. 1.1 - Problems 17 through 22 refer to Figure 19....Ch. 1.1 - Problems 17 through 22 refer to Figure 19....Ch. 1.1 - Problems 17 through 22 refer to Figure 19....Ch. 1.1 - Problems 17 through 22 refer to Figure 19....Ch. 1.1 - Problems 17 through 22 refer to Figure 19....Ch. 1.1 - Problems 17 through 22 refer to Figure 19....Ch. 1.1 - Figure 20 shows a walkway with a handrail. Angle ...Ch. 1.1 - Figure 20 shows a walkway with a handrail. Angle ...Ch. 1.1 - Figure 20 shows a walkway with a handrail. Angle ...Ch. 1.1 - Figure 20 shows a walkway with a handrail. Angle ...Ch. 1.1 - Rotating Light A searchlight rotates through one...Ch. 1.1 - Rotation of Earth It takes the earth 24 hours to...Ch. 1.1 - Geometry An isosceles triangle is a triangle in...Ch. 1.1 - Geometry An equilateral triangle is a triangle in...Ch. 1.1 - Problems 31 through 36 refer to right triangle ABC...Ch. 1.1 - Problems 31 through 36 refer to right triangle ABC...Ch. 1.1 - Problems 31 through 36 refer to right triangle ABC...Ch. 1.1 - Problems 31 through 36 refer to right triangle ABC...Ch. 1.1 - Problems 31 through 36 refer to right triangle ABC...Ch. 1.1 - Problems 31 through 36 refer to right triangle ABC...Ch. 1.1 - Solve for x in each of the following right...Ch. 1.1 - Solve for x in each of the following right...Ch. 1.1 - Solve for x in each of the following right...Ch. 1.1 - Solve for x in each of the following right...Ch. 1.1 - Solve for x in each of the following right...Ch. 1.1 - Solve for x in each of the following right...Ch. 1.1 - Problems 43 and 44 refer to Figure 21. Figure 21...Ch. 1.1 - Problems 43 and 44 refer to Figure 21. Figure 21...Ch. 1.1 - Problems 45 and 46 refer to Figure 22, which shows...Ch. 1.1 - Problems 45 and 46 refer to Figure 22, which shows...Ch. 1.1 - Pythagorean Theorem The roof of a house is to...Ch. 1.1 - Surveying A surveyor is attempting to find the...Ch. 1.1 - Find the remaining sides of a 306090 triangle if...Ch. 1.1 - Find the remaining sides of a 306090 triangle if...Ch. 1.1 - Find the remaining sides of a 306090 triangle if...Ch. 1.1 - Find the remaining sides of a 306090 triangle if...Ch. 1.1 - Find the remaining sides of a 306090 triangle if...Ch. 1.1 - Find the remaining sides of a 306090 triangle if...Ch. 1.1 - Escalator An escalator in a department store is to...Ch. 1.1 - Escalator What is the length of the escalator in...Ch. 1.1 - Problems 57 and 58 refer to the two-person tent...Ch. 1.1 - Problems 57 and 58 refer to the two-person tent...Ch. 1.1 - Find the remaining sides of a 454590 triangle if...Ch. 1.1 - Find the remaining sides of a 454590 triangle if...Ch. 1.1 - Find the remaining sides of a 454590 triangle if...Ch. 1.1 - Find the remaining sides of a 454590 triangle if...Ch. 1.1 - Find the remaining sides of a 454590 triangle if...Ch. 1.1 - Find the remaining sides of a 454590 triangle if...Ch. 1.1 - Distance a Bullet Travels A bullet is tired into...Ch. 1.1 - Time a Bullet Travels If the bullet in Problem 65...Ch. 1.1 - Problems 67 and 68 refer to Figure 26. Figure 26...Ch. 1.1 - Problems 67 and 68 refer to Figure 26. 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Give the reciprocal of each number. yrCh. 1.4 - Use the reciprocal identities for the following...Ch. 1.4 - Use the reciprocal identities for the following...Ch. 1.4 - Use the reciprocal identities for the following...Ch. 1.4 - Use the reciprocal identities for the following...Ch. 1.4 - Use the reciprocal identities for the following...Ch. 1.4 - Use the reciprocal identities for the following...Ch. 1.4 - Use a ratio identity to find tan given the...Ch. 1.4 - Use a ratio identity to find tan given the...Ch. 1.4 - Use a ratio identity to find tan given the...Ch. 1.4 - Use a ratio identity to find tan given the...Ch. 1.4 - For Problems 23 through 26, recall that sin2 means...Ch. 1.4 - For Problems 23 through 26, recall that sin2 means...Ch. 1.4 - For Problems 23 through 26, recall that sin2 means...Ch. 1.4 - For Problems 23 through 26, recall that sin2 means...Ch. 1.4 - For Problems 27 through 30, let sin=12/13, and...Ch. 1.4 - For Problems 27 through 30, let sin=12/13, and...Ch. 1.4 - For Problems 27 through 30, let sin=12/13, and...Ch. 1.4 - 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Add or subtract as indicated, then simplify if...Ch. 1.5 - Add and subtract as indicated. Then simplify your...Ch. 1.5 - Add and subtract as indicated. Then simplify your...Ch. 1.5 - Add and subtract as indicated. Then simplify your...Ch. 1.5 - Add and subtract as indicated. Then simplify your...Ch. 1.5 - Add and subtract as indicated. Then simplify your...Ch. 1.5 - Add and subtract as indicated. Then simplify your...Ch. 1.5 - Multiply. (ab)2 (cossin)2Ch. 1.5 - Multiply. (a+1)(a1) (sec+1)(sec1)Ch. 1.5 - Multiply. (a2)(a3) (sin2)(sin3)Ch. 1.5 - Multiply. (a1)(a+6) (cos1)(cos+6)Ch. 1.5 - Multiply. (sin+4)(sin+3)Ch. 1.5 - Multiply. (cos+2)(cos5)Ch. 1.5 - Multiply. (2cos+3)(4cos5)Ch. 1.5 - Multiply. (3sin+4)(5cos+2)Ch. 1.5 - Multiply. (1sin)(1+sin)Ch. 1.5 - Multiply. (1cos)(1+cos)Ch. 1.5 - Multiply. (1tan)(1+tan)Ch. 1.5 - Multiply. (1csc)(1+csc)Ch. 1.5 - Multiply. (sincos)2Ch. 1.5 - Multiply. (cos+sin)2Ch. 1.5 - Multiply. (sin4)2Ch. 1.5 - Multiply. (cos+3)2Ch. 1.5 - Simplify the expression x2+4 as much as possible...Ch. 1.5 - Simplify the expression x2+1 as much as possible...Ch. 1.5 - Simplify the expression 9x2 as much as possible...Ch. 1.5 - Simplify the expression 16x2 as much as possible...Ch. 1.5 - Simplify the expression x236 as much as possible...Ch. 1.5 - Simplify the expression x264 as much as possible...Ch. 1.5 - Simplify the expression 644x2 as much as possible...Ch. 1.5 - Simplify the expression 4x2+16 as much as possible...Ch. 1.5 - Show that each of the following statements is an...Ch. 1.5 - Show that each of the following statements is an...Ch. 1.5 - Show that each of the following statements is an...Ch. 1.5 - Show that each of the following statements is an...Ch. 1.5 - Show that each of the following statements is an...Ch. 1.5 - Show that each of the following statements is an...Ch. 1.5 - Show that each of the following statements is an...Ch. 1.5 - Show that each of the following statements is an...Ch. 1.5 - Show that each of the following statements is an...Ch. 1.5 - Show that each of the following statements is an...Ch. 1.5 - Show that each of the following statements is an...Ch. 1.5 - Show that each of the following statements is an...Ch. 1.5 - Show that each of the following statements is an...Ch. 1.5 - Show that each of the following statements is an...Ch. 1.5 - Show that each of the following statements is an...Ch. 1.5 - Show that each of the following statements is an...Ch. 1.5 - Show that each of the following statements is an...Ch. 1.5 - Show that each of the following statements is an...Ch. 1.5 - Show that each of the following statements is an...Ch. 1.5 - Show that each of the following statements is an...Ch. 1.5 - Show that each of the following statements is an...Ch. 1.5 - Show that each of the following statements is an...Ch. 1.5 - Show that each of the following statements is an...Ch. 1.5 - Show that each of the following statements is an...Ch. 1.5 - Show that each of the following statements is an...Ch. 1.5 - Show that each of the following statements is an...Ch. 1.5 - Show that each of the following statements is an...Ch. 1.5 - Show that each of the following statements is an...Ch. 1.5 - Show that each of the following statements is an...Ch. 1.5 - Show that each of the following statements is an...Ch. 1.5 - Show that each of the following statements is an...Ch. 1.5 - Show that each of the following statements is an...Ch. 1.5 - Express tan in terms of sin only. a. sinsin21 b....Ch. 1.5 - Simplify cotcsc. a. cos b. sin c. sec d. tanCh. 1.5 - Simplify x2+16 as much as possible after...Ch. 1.5 - Which of the following is a valid step in proving...Ch. 1 - Find the complement and the supplement of 70.Ch. 1 - Solve for x in the right triangle shown in Figure...Ch. 1 - Referring to Figure 2, find (in order) h, r, y,...Ch. 1 - Figure 3 shows two right triangles drawn at 90 to...Ch. 1 - Through how many degrees does the hour hand of a...Ch. 1 - Find the remaining sides of a 306090 triangle if...Ch. 1 - Escalator An escalator in a department store is to...Ch. 1 - Geometry Find the measure of one of the interior...Ch. 1 - Find the distance between the points (4, â€“2) and...Ch. 1 - Find x so that the distance between (â€“2, 3) and...Ch. 1 - Verify that (12,32) lies on the graph of the unit...Ch. 1 - Find all angles that are coterminal with 150.Ch. 1 - Human Cannonball A human cannonball is shot from a...Ch. 1 - Find sin , cos , and tan for each of the...Ch. 1 - Find sin , cos , and tan for each of the...Ch. 1 - Indicate the two quadrants could terminate in if...Ch. 1 - In which quadrant will lie if csc0 and cos0?Ch. 1 - Find all six trigonometric functions for if the...Ch. 1 - Why is sin 1 for any angle in standard position?Ch. 1 - Find the remaining trigonometric functions of if...Ch. 1 - Find sin and cos if the terminal side of lies...Ch. 1 - If sin=47, find csc.Ch. 1 - If sin=13, find sin3.Ch. 1 - If sec=3 with in QIV, find cos, sin, and tan .Ch. 1 - Expand and simplify (cossin)2.Ch. 1 - Subtract 1sinsin.Ch. 1 - Simplify the expression 4x2 as much as possible...Ch. 1 - Show that each of the following statements is an...Ch. 1 - Show that each of the following statements is an...Ch. 1 - Show that each of the following statements is an...Ch. 1 - The diagram shown in Figure 1 was used by the...Ch. 1 - The second proof, credited to former president...Ch. 1 - For the third proof, consider the two squares...Ch. 1 - Although Pythagoras preceded William Shakespeare...

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In Exercises 1 to 8, find the complement of the set given that U = {0, 1, 2, 3, 4, 5, 6, 7, 8}. {x | x W and x...

Mathematical Excursions (MindTap Course List)

Values of Trigonometric Functions Find an approximate value of the given trigonometric function by using (a) th...

Precalculus: Mathematics for Calculus (Standalone Book)

The spotlight effect refers to overestimating the extent to which others notice your appearance or behaviour, e...

Statistics for The Behavioral Sciences (MindTap Course List)

Lifestyle: Hide the Mess! A survey of 1000 adults (reported in USA Today) uncovered some interesting housekeepi...

Understanding Basic Statistics

Car selection Use the following information for Problems 27-32. A man owns an Audi, a Ford, and a VW. He drives...

Mathematical Applications for the Management, Life, and Social Sciences

Solve each equation in Exercises 107120 for x, rounding your answer to four significant digits where necessary....

Applied Calculus

Convert the expressions in Exercises 6584 to power form. x23

Finite Mathematics

Proof In Exercises 61-68, prove the property. In each case, assume r, u, and v are differentiable vector-valued...

Calculus: Early Transcendental Functions

Each limit represents the derivative of some function f at some number a. State such an f and a in each case. l...

Single Variable Calculus: Early Transcendentals, Volume I

Express the number as a ratio of integers. 56. 5.71358

Calculus: Early Transcendentals

Find the maximum profit P (in dollars) given that 6(P 2500) 4(P + 2400)

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Calculate each expression in Exercises 124, giving the answer as a whole number or a fraction in lowest terms. ...

Finite Mathematics and Applied Calculus (MindTap Course List)

A solid occupies a region E with surface S and is immersed in a liquid with constant density . We set up a coor...

Calculus (MindTap Course List)

If f(x) = x2 + 10 sin x, show that there is a number c such that f(c) = 1000.

Single Variable Calculus

For Problems 2-10, state the property of equality or the property of real numbers that justifies each of the st...

Intermediate Algebra

A research study comparing alcohol use for college students in the United States and Canada reports that more C...

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

SOC A random sample of 429 college students was interviewed about a number of matters. Use the results to const...

Essentials Of Statistics

Show that the cdf F(x) is a nondecreasing function; that is, x1 x2 implies that F(x1) F(x2). Under what condi...

Probability and Statistics for Engineering and the Sciences

Sketch the region whose area is given by the integral and evaluate the integral. 6. /202sinrdrd

Multivariable Calculus

(See Exercise 16.) Find the order of each of the following elements. a. ([ 2 ],[ 3 ]) in 46 b. ([ 2 ],[ 6 ]) in...

Elements Of Modern Algebra

28. Mike Gioulis would like to have $25,000 in 4 years to pay off a balloon payment on his business mortgage. H...

Contemporary Mathematics for Business & Consumers

Evaluate each expression: 1862446

Elementary Technical Mathematics

Finding and Analyzing Derivatives Using Technology In Exercises 63-70, (a) use a computer algebra system to dif...

Calculus: Early Transcendental Functions (MindTap Course List)

Modeling Data The table lists the frequency F (in Hertz) of a musical note at various times t (in seconds). t 0...

Calculus of a Single Variable

The region bounded by the given curves is rotated about the specified axis. Find the volume of the resulting so...

Single Variable Calculus: Early Transcendentals

In Exercises 918, indicate whether the matrix is in row-reduced form. [100010002|123]

Finite Mathematics for the Managerial, Life, and Social Sciences

The report State of the News Media 2015 (Pew Research Center, April 29, 2015) published the accompanying circul...

Introduction To Statistics And Data Analysis

A bacteria culture starts with 50 organisms and after 2 hours there are 100. Assuming natural growth, how many ...

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Use d=x2-x12+y2-y12 to find the length of CD- as described in Exercise 2. _ In the coordinate system for Exerci...

Elementary Geometry for College Students

True or False:
Du f(a, b) = ∇(a, b) · u.

Study Guide for Stewart's Multivariable Calculus, 8th

Write the fractional part that each length, A through F, represents of the total shown on the scale in Figure 1...

Mathematics For Machine Technology

Define content analysis and archival research.

Research Methods for the Behavioral Sciences (MindTap Course List)

A highway department is studying the relationship between traffic flow and speed. The following model has been ...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Evaluating a Definite Integral In Exercises 47-52, evaluate the definite integral. 03 ti+t2j dt

Multivariable Calculus

Make a list of some of the factors in your life that change from one day to the next. Possible examples include...

Research Methods for the Behavioral Sciences (MindTap Course List)

In exercise 9, an estimated regression equation was developed relating the top speed for a boat to the boats be...

Statistics for Business & Economics, Revised (MindTap Course List)

EXPLORING CONCEPTS Choosing a Method State the method or integration formula you would use to find the antideri...

Calculus (MindTap Course List)

Use the Square Root Property to solve each equation. 4x2=7

College Algebra (MindTap Course List)

Use Hamiltons Method to apportion the legislative seats in Exercise 2. 2. A small country consists of three sta...

Mathematics: A Practical Odyssey

Use the floor notation to express 259 div 11 and 259 mod 11.

Discrete Mathematics With Applications

Smartphone Battery Life. Battery life is an important issue for many smartphone owners. Public health studies h...

Essentials Of Statistics For Business & Economics

Machine Breakdowns. To test for any significant difference in the number of hours between breakdowns for four m...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

Shifting and Stretching Exercises 1 through 13 refer to the graph in Figure 2.124. Sketch the graph of each of ...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

In Problem 21, the mass m(t) is the sum of three different masses: m(t) = mp + mv + mf(t), where mp is the cons...

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

For the following exercises, graph the equations and shade the area of the region between the curves. Determine...

Calculus Volume 2

[T] The number of hours of daylight in a northeast city is modeled by the function N(t)=12+3sin[2365(t79)] , wh...

Calculus Volume 1