Question

If √2sin(60-theta)=1 then find theta

Answer 1

Given ::- √2sin(60-∅) = 1

To find ::- value of ∅

Solution ::-

Now shifting √2 to the RHS we get

Sin(60-∅) = 1/√2

But, sin45° = 1/√2

So,

Sin(60-∅) = sin45°

Equating the angles,

(60-∅) = 45

- ∅ = 45 - 60

- ∅ = - 15

Minus sign cancels

∴ ∅ = 15°

Therefore the value of ∅ is 15°

HOPE IT HELPS YOU!!