Question

Given the equation: \[ 81 \sin^2 x + 81 \cos^2 x = 30 \] Find the value of \( x \).

• A. \( x = \frac{\pi}{4} \)
• B. \( x = \frac{\pi}{6} \)
• C. \( x = \frac{\pi}{3} \)
• D. \( x = \frac{\pi}{2} \)

Hint:

Always check for simplifications using the Pythagorean identity in trigonometric equations to ensure you eliminate extraneous terms.