Determine the exact value of in the following equation if 0 ≤ 0 < 2π. -8 sin² 0 + 10 = 6 Select the correct answer below: O O ㅠ 3π 0 = 0, π, 2 2 5π 7π 0 = and only 4 4 п 3п 5п 7п 4 4 4 4 3π and only 4 π 0 = 0 0 = OA FATITEA π 4 0 and only

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Determine the exact value of \(\theta\) in the following equation if \(0 \leq \theta < 2\pi\).

\[
-8 \sin^2 \theta + 10 = 6
\]

Select the correct answer below:

- \(\theta = 0, \frac{\pi}{2}, \pi, \frac{3\pi}{2}\)

- \(\theta = \frac{5\pi}{4} \text{ and } \frac{7\pi}{4}\) only

- \(\theta = \frac{\pi}{4}, \frac{3\pi}{4}, \frac{5\pi}{4}, \frac{7\pi}{4}\)

- \(\theta = \frac{\pi}{4} \text{ and } \frac{3\pi}{4}\) only

- \(\theta = 0 \text{ and } \frac{\pi}{2}\) only
Transcribed Image Text:Determine the exact value of \(\theta\) in the following equation if \(0 \leq \theta < 2\pi\). \[ -8 \sin^2 \theta + 10 = 6 \] Select the correct answer below: - \(\theta = 0, \frac{\pi}{2}, \pi, \frac{3\pi}{2}\) - \(\theta = \frac{5\pi}{4} \text{ and } \frac{7\pi}{4}\) only - \(\theta = \frac{\pi}{4}, \frac{3\pi}{4}, \frac{5\pi}{4}, \frac{7\pi}{4}\) - \(\theta = \frac{\pi}{4} \text{ and } \frac{3\pi}{4}\) only - \(\theta = 0 \text{ and } \frac{\pi}{2}\) only
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