Question

value of sin2(90- theta)​

Answer 1

Given : Sin 2(90 - θ )    or Sin²(90-θ)

To Find : Simplify

Solution:

Sin 2(90 - θ )

= Sin ( 180 - 2θ)

= Sin2θ

Another way

Sin 2(90 - θ )

using sin2x = 2sinxcosx

= 2 Sin (90-θ) Cos (90-θ)

Sin (90-θ) = Cosθ

Cos (90-θ) = sinθ

= 2 Cosθ  Sinθ

= 2 SinθCosθ

= Sin 2θ

Sin²(90-θ)  = Cos²θ

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