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