Question

if sin a is equal to 1 by 2 find sin 2a

Answer 1

Hey guy here is ur answer :-__________________________________________________________

Sin a=1/2

That means the a is a angle

a =sin inverse(1/2)

Therefore the value of a=30°

We have to find value of sin2a

Sin 2a=sin 2(30°)

Sin 2a=sin 60°

Therefore the value of sin2a=√3/2

I hope it helps u if u r satisfied plz mark as brainlist plz

Answer 2

sin 2A = 2sinAcosA,

sinA = 1/2,

Cos A = √(1-sin²A),

=> CosA = √(1-1/4)

=> Cos A = √(3/4) = √3 /2

=> Sin 2A = 2*(1/2)*(√3/2)

=> Sin 2A = √3 / 2,

I have done like this because we don't know where the angle A lies in whether 1st quadrant or second, So I have done like this,

If you need easiest answer then ,

Sin 30° = 1/2 = Sin A,

=> A = 30°,

now sin 2A = sin 60° = √3/2,

So the answer to your question is √3/2,

Hope you understand !!

Have a good day !