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CalculusCalculus: An Applied Approach (MindTap Course List)10th Edition

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Chapter 8.2, Problem 6E
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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Evaluating Trigonometric Functions In Exercises 1-6, find the exact values of the six trigonometric functions of the angle θ. See Example 1.

Chapter 8.2, Problem 6E, Evaluating Trigonometric Functions In Exercises 1-6, find the exact values of the six trigonometric

To determine

To calculate: The exact values of the six trigonometric functions of the angle θ for the provided figure.

Calculus: An Applied Approach (MindTap Course List), Chapter 8.2, Problem 6E

Explanation

Given Information:

The figure provided below shows the angle θ.

Formula used:

The trigonometric functions are,

sinθ=yr         cscθ=rycosθ=xr         secθ=rxtanθ=yx         cotθ=xy

Where, x is the length of the side adjacent to θ, y is the length of the side opposite to θ, and r=x2+y2 is the length of hypotenuse r≠0.

Calculation:

From the provided figure, the value of x is −2 and y is −2.

r=(−2)2+(−2)2=4+4=8=22

Substitute y=−2 and r=22 in sinθ=yr.

sinθ=−222=−12×22=−22

Substitute x=−2 and r=22 in cosθ=xr

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Let limxaf(x)=L. For 0 pictured at the right, what is the best choice for in the limit definition? a) p b) q c...

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

Finding the Gradient of a FunctionIn Exercises 1520, find the gradient of the function at given point. f(x,y)=3...

Multivariable Calculus

Using the Second Derivative Test In Exercises 33-44, find all relative extrema of the function. Use the Second ...

Calculus

The equation of the plane partially drawn in the figure is: x = 3 y = 3 z = 3 x + y = 3

Study Guide for Stewart's Multivariable Calculus, 8th

Graph each function. fx=1-lnx

College Algebra (MindTap Course List)

With reference to 1, name the sides of each of the following triangles as opposite, adjacent, or hypotenuse.

Mathematics For Machine Technology

The article Tobacco and Alcohol Use in G-Rated Childrens Animated Films (Journal of the American Medical Associ...

Introduction To Statistics And Data Analysis

Consider the following hypothesis test. H0:d0Ha:d0 The following data are from matched samples taken from two p...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the variance and standard deviation.

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

Identify the basic goals for descriptive statistics and for inferential statistics.

Research Methods for the Behavioral Sciences (MindTap Course List)

Make up a set of 10 pairs of scores (X and Y values) so that the Pearson correlation between X and Y is approxi...

Research Methods for the Behavioral Sciences (MindTap Course List)

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