Question

The value of \( \sin^{-1} \left( \frac{2\sqrt{2}}{3} \right) + \sin^{-1 \left( \frac{1}{3} \right) \) is equal to:}

• A. \( \frac{\pi}{6} \)
• B. \( \frac{\pi}{4} \)
• C. \( \frac{\pi}{2} \)
• D. \( \frac{2\pi}{3} \)
• E. \( 0 \)

Hint:

Always check if the squares of the two arguments in a \( \sin^{-1} \) sum add up to 1. If \( a^2 + b^2 = 1 \), the answer is almost always \( \pi/2 \).

Answer 1

The Correct Option is C