Question

If 2.sin 2 theta=√3, then prove that
3 cot^2 theta - 2 sin theta =8

Answer 1

Answer:

I'll be using A instead of theta, if that's not a problem.

Given: 2sin2A = √3

=> sin2A = √3/2

But sin60° = √3/2

So,

sin2A = sin60°

=> 2A = 60°

=> A = 60/2 = 30°

R.T.P: 3cot²A -2sinA = 8

=> 3cot²30° - 2sin30° = 8

=> 3(√3)² - 2(1/2) = 8

=> 3(3) - 1 = 8

=> 9 - 1 = 8

=> 8 = 8

Hence Proved.

Answer 2

Answer:

8

Step-by-step explanation:

the answer is 8 u can check in the paper which is top