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

The Correct Option is A

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