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Trigonometry (MindTap Course List)

8th Edition
Charles P. McKeague + 1 other
Publisher: Cengage Learning
ISBN: 9781305652224
Chapter 6, Problem 3CT
Textbook Problem
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Find all solutions in the interval 0 ° θ 360 ° . If rounding is necessary, round to the nearest tenth of a degree.

cos θ 2 sin θ cos θ = 0

To determine

To calculate:

All the solutions of the given trigonometric equation.

Explanation of Solution

Given Information:

cosθ2sinθcosθ=0

Concept Used:

To find the solution of the equation we factorise the equation by taking out common terms.

Then found the value of angle.

Calculation:

The given equation is:

cosθ2sinθcosθ=0

Taking cosθ common from both the terms we get

cosθ(12sinθ)=0

Now, comparing we get

cosθ=0 or 12sinθ=0</

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Chapter 6 Solutions

Trigonometry (MindTap Course List)
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Use a...Ch. 6 - Find all solutions for the following equations....Ch. 6 - Find all solutions for the following equations....Ch. 6 - Find all solutions for the following equations....Ch. 6 - Find all solutions for the following equations....Ch. 6 - Find all solutions, to the nearest tenth of a...Ch. 6 - Find all solutions, to the nearest tenth of a...Ch. 6 - Use your graphing calculator to find all radian...Ch. 6 - Use your graphing calculator to find all radian...Ch. 6 - Use your graphing calculator to find all radian...Ch. 6 - Use your graphing calculator to find all radian...Ch. 6 - Ferris Wheel In Example 6 of Section 4.5, we found...Ch. 6 - Eliminate the parameter t from each of the...Ch. 6 - Eliminate the parameter t from each of the...Ch. 6 - Eliminate the parameter t from each of the...Ch. 6 - Eliminate the parameter t from each of the...Ch. 6 - Ferris Wheel A Ferris wheel has a diameter of 180...Ch. 6 - If d is the distance that the circle has rolled,...Ch. 6 - Use the lengths a, b, r, and d to find the...Ch. 6 - Now use right triangle trigonometry to find a and...Ch. 6 - Using your answers to Questions 1 through 3, find...Ch. 6 - Suppose that r=1. 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State the...Ch. 6 - For the equation y=3cos(x4), identity the...Ch. 6 - Graph one complete cycle of y=3tan(12x+4). State...Ch. 6 - The graph in Figure 3 shows one complete cycle of...Ch. 6 - Evaluate cos(sin123) without using a calculator.Ch. 6 - Prove each identity. (1+secx)(1cosx)=tan2xcosxCh. 6 - Prove each identity. sin(90)=cosCh. 6 - Let sinA=35 with 270A360 and sinB=1213 with 90B180...Ch. 6 - Let sinA=35 with 270A360 and sinB=1213 with 90B180...Ch. 6 - Rewrite the expression 4sin7xcos3x as a sum or...Ch. 6 - Solve 2cos2cos1=0 for if 0360.Ch. 6 - Solve sin2xsinx=0 if 0x2.Ch. 6 - Find all degree solutions for...Ch. 6 - Eliminate the parameter t from the parametric...

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