FunctionHard

Question

The greatest value of the function f (x) = (sin-1 x)3 + (cos-1 x)3 is:

Options

A.
B.
C.
D.

Solution

f(x) = (sin-1x + cos-1x)3 - 3 sin-1x cos-1x (sin-1x + cos-1x)
= - 3 sin-1 x sin-1 x + 3 (sin-1x)2
= -
maximum value of f(x) at x = - 1
fmaximum =

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