Question

 θ=30⁰ verify the sin2θ=2sinθ.cosθ ​

Answer 1

Answer:

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Answer 2

Answer:

Each of the sides i.e. LHS and RHS are equal to √3 / 2 when simplified.

Hence, proved.

Step-by-step explanation:

In any question dealing with proof and verification, we must begin by mentioning what's provided to us so let's do that —

θ = 30°

Then, we are supposed to mention what is to be verified—

sin 2θ = 2 sin θ . cos θ

Now, finally let's begin with the actual proof—

Let's simplify LHS and RHS one-by-one,

LHS

=> sin 2θ

=> sin 2(30°)

=> sin 60°

$= > \frac{ \sqrt{3} }{2}$

RHS

=> 2 sin θ . cos θ

=> 2 sin 30° . cos 30°

$= > 2 \times \frac{1}{2} \times \frac{ \sqrt{3} }{2} \\ \\ = > \frac{ \sqrt{3} }{2}$

Now, we see that LHS = RHS.

Hence, Proved :)