Question

If f(x)=sin³x-cos(2x) then the value of f(π/2) is

Answer 1

Explanation:

If f(x)=sin³x-cos(2x) then the value of f(π/2) is

Answer 2

The value of f(π/2) is 2.

Given:

The function f(x)=sin³x-cos(2x).

To Find:

The value of f(π/2).

Solution:

We have been given a function in a single variable x:

f(x)=sin³x-cos(2x)

The value of f(π/2) can be simply found by replacing 'x' with π/2.

f(π/2) = sin³(π/2)-cos(2 x π/2) = sin³(π/2)-cos(π).

We know that sin(π/2) = 1.

⇒ sin³(π/2) = 1³ = 1.

Also cos(π)=-1.

So, f(π/2) = sin³(π/2)-cos(π) = 1 - (-1) = 2.

∴The value of f(π/2) is 2.

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