Question

If 2 sin x=√3, evaluate: (1) 4 sin³ -3 sin x , (2) 3 cos x - 4 cos³ x​

Answer 1

ANSWER :–

GIVEN THAT :–

=》 Sin x = √3/2

=》 x = 60⁰

To find :–

(1) 4 sin³ x - 3 sin x

(2) 3 cos x - 4 cos³ x

SOLUTION :–

(1) WE KNOW THAT –

sin (3x) = 3 sin x - 4 sin³ x

so , that –

=> 4 sin³ x - 3 sin x = - sin ( 3x )

= - sin (3x)

= - sin (3 × 60⁰)

= - sin (180⁰)

= 0

(2) we know that –

cos (3x) = 4 cos³ (x) - 3 cos (x)

so , that –

=> 3 cos x - 4 cos³ x = - cos(3x)

= - cos (3x)

= - cos ( 3 × 60⁰)

= - cos (180⁰)

= -(-1)

= 1

Answer 2

Answer:

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Step-by-step explanation:

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