Using Absolute Value Notation In Exercises 7and 8, use absolute value notation to describethe situation.7. The distance between x and 7 is at least 4.8. The distance between x and 25 is no more than 10.

Q: Solve x2 + 2x − 6 = 0 by completing the square.

A: Given quadratic equation is, x2+2x-6=0

Q: So, for this question how would I find the TAN of this problem, as the problem in this image? As wel...

A: We know Tanx = opposite / base(adjacent) Sin x = opposite/hypotenuese Cos x= base/hypotenuse Cosec x...

Q: When graphed, all of the nth roots of a complex number will be evenly distributedaround a _______ of...

A: Given: When graphed, all of the nth roots of a complex number will be evenly distributed around a __...

Q: Performing Operations In Exercises 17–22,perform the operation(s). (Write fractional answers insimpl...

A: Given- 17 -6+6               (18)  2--3 To find- The value of the above expression using mathematica...

Q: Use the unit circle and the fact that sine is an odd function to find each of the following:        ...

A:

Q: Write an equivalent algebraic expression that involves x only  cosec   ( sin  -1 1/ x)

A: Given: The expression cosecsin-11x, To find: The algebraic expression equivalent to given expression...

Q: If you had 20 ft ladder, how far away from the building would you have to place the bottom to reach ...

A: Given, Length of ladder = 20 ft   Height of the window from the bottom is 15 ft .  We have to find h...

Q: Find the area of the sector formed by the given central angle  theta in a circle of radius r.       ...

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Q: Graph one complete cycle of each of the following. In each case, label the axes accuratelyand identi...

A: Consider the given function, y=cos3x use the form y=acosbx-c+d where, amplitude=aperiod=2πbphase shi...

Q: If cos u = 2425 and u is in quadrant IV, fnd the other fve trigonometric functions of u.

A:

Q: Given the triangle below, find cot(0). 3.

A: Given triangle is find cot(θ) = ?

Q: 7) Triangle ABCD is formed by the vertices A (2, -2) B (5, 1) C (10, 0) D(1, -9). Fill out the table...

A: Given: The vertices of quadrilateral ABCD are: A(2, -2), B(5, 1), C(10, 0), D(1, -9)

Q: Distance Air traffic controllers continuouslymonitor the angles of elevation θ and ϕ to an airplanef...

A: we have been given triangle ABC where we have AB = 2 miles   

Q: Solving a Quadratic Equation byFactoring In Exercises 25–34, solve thequadratic equation by factorin...

A:

Q: Write each expression as a single trigonometric function.   sin 15 degree cos 75 degree +cos  15 deg...

A: Given : sin15°cos75°+cos15°sin75°

Q: Proof Prove that(cos θ)i + (sin θ)jis a unit vector for any value of θ.

A: Given:cosθ i + sinθ j

Q: For this question, how would I solve for the SINE of theta, and the COS of theta for this particular...

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Q: Prove that each of the following identities is true.   sec 2 theta  - tan 2 theta = 1

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Q: Evaluating Trigonometric FunctionsIn Exercises 9–12, find the exact values of thesix trigonometric f...

A: hello, learner.. Sorry we able to answer very first question as per the policy. Please resubmit the ...

Q: Prove each identity    cos x - tan x  = cos  2x / sin x cos x

A: We have to prove the identity: cot x-tan x=cos 2xsin x cos x We know that cot x=cos xsin xtan x=sin ...

Q: Determine the exact values of sin θ and cos θ given that the terminal side of angle θ intersects the...

A: Given that the terminal side of angle θ intersects the unit circle in the first quadrant at (4/15, y...

Q: Find the distance s covered by a point moving with linear velocity v for the given time t.   v = 10 ...

A: Given, Velocity v=10ft/sec and time t=5 sec Now we need to find distance s covered by a moving parti...

Q: Determine the diameter of a cylinder with a height of 20 m and a volume of 663.7 m3

A: Given, Volume of cylinder=663.7 m3 Height of cylinder=20 m   To Determine   Diameter of cylinder

Q: Find the complementary and supplementary angles. 40°26'35" the complementary angle is____

A: the given angle is 40°26'35"

Q: Evaluate sec(cos^-1(tan(sin^-1(a/b)))where a/b is a positive real number.

A: If  sin(u)=x∴u=sin-1(x) then, cos(sin-1(x))=cos(u)=1-(sin(u))2=1-x2   Thus for any angle x we have t...

Q: If (x, y) is a point on the unit circle and t is the distance from (1, 0) to the point alongthe circ...

A: If (x, y) is a point on the unit circle and t is the distance from (1, 0) to the point along the cir...

Q: Suppose we know the length of one side and one acute angle of a 30°9 60° right triangle. Is it possi...

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Q: Show the solution of Angle

A: Arc x = 180 - 28 = 152 degrees

Q: Find exact values for each of the following, if possible.   sec 60  0

A: To find exact value of sec60°. Solution: We know that, secθ=1cosθ Therefore, sec60°=1cos60°=112     ...

Q: Given the triangle, find cot ( θ ). Enter your answer as a ratio of sides.

A:

Q: Work A constant force of 50 pounds, exerted at anangle of 25° with the horizontal, is required to sl...

A: To Determine: the work done in sliding the desk 15 feet. Given: Work A constant force of 50 pounds, ...

Q: So, when finding the value of tangent in this problem, how do exactly I do this? Because this is ver...

A: Complete diagram is

Q: 9. Find the measures of angle A and angle C ( Hint: Use inverse of the function to find the followin...

A: We have to find the measure of angle A and C

Q: Evaluating a Trigonometric Expression InExercises 47–52, find the exact value of the trigonometricex...

A: Given: sinu=-7, cosv=-4, u and v are in quadrant 3rd We know that  sinθ∈-1,1, cosθ∈-1,1 So, there is...

Q: Graph one complete cycle of each of the following. In each case, label the axes accuratelyand identi...

A: y=cosec3x Comparing with y=cosecbx, we get b=3 Therefore period is, 2πb=2π3

Q: If a wind turbine makes 76 full revolutions every 1 minute, what is its angular speed? Enter an exac...

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Q: Without a calculator, clearly use coterminal angles and reference angles to find the exact value of ...

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Q: A straight trail with a uniform inclination of 15° leads from a lodge at an elevation of 600 feet to...

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Q: 3 and sin 0<0. 8 Let 0 be an angle such that cot 0= - Find the exact values of csc 0 and sec 0. csc ...

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Q: Work One of the events in a strength competition isto pull a cement block 100 feet. One competitor p...

A: Consider that a force of 250 pounds (lb.) is applied at an angle of 30° with the horizontal to pull ...

Q: Prove that each of the following identities is true.   cosec x- 1 / cosec x + 1 = 1- sin x / 1+ sin ...

A: Consider an equation: cosec x-1cosec x+1=1-sin x1+sin x……1 Here, L.H.S.=cosec x-1cosec x+1R.H.S.=1-s...

Q: Question On the graph of f(x) = sin x and the interval [0, 2n), for what value of x does f(x) achiev...

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Q: Use the function value to find the indicated trigonometric value in the specified quadrant. Function...

A: Finding the value of trigonometric value:

Q: The vector sum v1i + v2 j is a ________ ________ of the vectors i and j, and the scalars v1 and v2ar...

A: The vector sum v1i + v2 j is a linear combination of the vectors i and j, and the scalars v1 and v2 ...

Q: Solve each equation for u if 0° &lt;= u &lt; 360°. If rounding is necessary, round to the nearestten...

A: To solve the equation: sinu cosu-2cosu=0, where 0≤u&lt;360°. Solving the given equation. sinu cosu-2...

Q: Distance An observer in a lighthouse 350 feet abovesea level observes two ships directly offshore. T...

A: Given that: Height of the lighthouse  say AB is:350ft Angle of depression of the first ship ,say C i...

Q: Find the equation of the graph given below. 31 2 (; mo) (-) п/2 TT T, -1 -2 -3

A: graph of cscx   graph of -cscx   graph of -csc(4x)   graph of -csc4x+π6   graph of -csc4x+π6-1

Q: xplain why the order of the vertices is important when naming congruent triangles. Give an example t...

A: When two triangles are congruent, they will have exactly the same three sides and exactly the same t...

Q: Consider the angle θ = −120°.(a) Sketch the angle in standard position.(b) Determine a coterminal an...

A: As per guidelines, we are supposed to solve only first 3 subdivisions. Please repost the other quest...

Q: 16

A: The Law of Cosines (also called the Cosine Rule) says:  c2 = a2 + b2 − 2ab cos(C)

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.