Question

F(x) = 3 sin x - 4 Sin³x , find f (π/2) =​

Answer 1

Answer:

-1

Step-by-step explanation:

f(x) =sin(3x)

f(π/2)= sin(3π/2)=-1

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Answer 2

Answer:

0

Step-by-step explanation:

We have,

$\sf F(x) = 3 \sin x -4 \sin ^3 x$

differentiating both sides w.r.t x,

$\sf F'(x) = 3 \cos x -12 \sin² x \cos x$

$\sf f(x) = 3 \cos x -12 \sin² x \cos x$

$\sf f \bigg(\dfrac{π}{2} \bigg) = 3 \cos \bigg( \dfrac{π}{2} \bigg)-12 \sin²\bigg( \dfrac{π}{2} \bigg) \cos \bigg( \dfrac{π}{2} \bigg)$

$\sf f \bigg( \dfrac{π}{2} \bigg) = 3 (0) - 12(1)^2 (0)$

$\sf f \bigg( \dfrac{π}{2} \bigg) = 0$