Question

if angle A=60 then 3sincube-4sinA​

Answer 1

Answer:

-7√3/8

Step-by-step explanation:

Given,

A = 60°

To Find :-

Value of :-

3sin³A - 4sinA

How To Do :-

Here they given the value of angle 'A' and we are asked to find the value of '3sin³A - 4sinA'. So first we need to find the value of 'sinA' and from that we need to find the value of '3sin³A - 4sinA'.

Formula Required :-

sin60° = √3/2

Solution :-

Findjng value of 'sinA' :-

Given,

A = 60°

Applying 'sin' on both sides :-

sinA = sin60°

sinA = √3/2

Finding value of '3sin³A - 4sinA' :-

Substituting value of 'sinA' in the aboe equation :-

= 3(√3/2)³ - 4(√3/2)

= 3[(√3)³/2³] - 2(√3)

= 3[3√3/8] - 2√3

= 9√3/8 - 2√3

= 9√3 - 8(2√3)/8

= 9√3 - 16√3/8

= -7√3/8

Value of 3sin³A - 4sinA = -7√3/8.