Answered: Find all solutions if 0° <= u < 360°.…

Name: Find all solutions if 0° <= u < 360°. Verify your answer graphically.
Uploaded: 2024-03-20T06:46:55.000Z
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Description: Find all solutions if 0° <= u < 360°. Verify your answer graphically. cos 2 theta= -1

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter7: Triangles

Section7.2: The Law Of Cosines

Problem 61PS

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Question

Find all solutions if 0° <= u < 360°. Verify your answer graphically.

cos 2 theta= -1

Expert Solution

Step 1

Given that,

$\cos 2 θ = - 1$

Step 2

Simplification:

Since we have,

$\cos 2 θ = - 1$

$2 θ = \cos^{- 1} (- 1) 2 θ = π, 3 π, . . . θ = \frac{π}{2}, \frac{3 π}{2} [Since 0 \leq θ < 360 °]$

Hence solution of $\cos 2 θ = - 1$ is $θ = \frac{π}{2}, \frac{3 π}{2}$ .

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