Question

solve:2 sin thita=✓2​

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.

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Answer 2

Answer:

45°

Step-by-step explanation:

$2 \sin( \alpha ) = \sqrt{2}$

$\sin( \alpha ) = \frac{ \sqrt{2} }{2}$

$\sin( \alpha ) = \frac{1}{ \sqrt{2} }$

$\sin( \alpha ) = \sin(45)$

$\alpha = 45$

so the value of thetha is 45°