Question

show that sin2theta= 2sintheta cos theta​

Answer 1

Answer:

To prove : Sin 2θ = 2 sinθ.cosθ

Step-by-step explanation:

To prove : Sin 2θ = 2 sinθ.cosθ

sin (a + b) = sin a. cos b + sin b . cos a

if a = b = θ , then :-

sin (θ + θ) = sin θ . cos θ + sin θ . cos θ

sin (θ + θ) = sin θ (cos θ + cos θ)

sin (2θ) = sin θ (cos θ + cos θ)

sin (2θ) = sin θ (2 × cos θ)

sin (2θ) =  2 sinθ.cosθ

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