Question

Let f(x)=cosx for $0\leq x \leq\frac{\pi}{3}$. Then the value of c which satisfies the conclusion of the Mean Value Theorem for the function f on $[0,\frac{\pi}{3}]$ is equal to

• A. $sin^{-1}(\frac{3}{2\pi})$
• B. $sin^{-1}(\frac{1}{3\pi})$
• C. $sin^{-1}(\frac{\pi}{12})$
• D. $sin^{-1}(\frac{1}{6\pi})$
• E. $sin^{-1}(\frac{\pi}{4})$

Answer 1

Answer: (A)

$sin^{-1}(\frac{3}{2\pi})$

Answer 2

The correct option is (A) : $sin^{-1}(\frac{3}{2\pi})$