Question

WHAT IS THE FORMULA OF SIN2@ IN TERM OF COTA​

Answer 1

Sin2A in terms of A,if A is an given angle then 2A is known as multiple angles.

We know that for two real numbers or angles A and B

Sin(A+B)=SinA CosB +CosA SinB

Now putting B=A on the both sides of above formula,we get

Sin(A+A)=SinA CosA+ CosA SinA

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Sin2A=2SinA CosA

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Note:-In the above formula we should note that the angle on R.H.S is half of the angle on L.H.S,therefore

Sin60=2Sin30 Cos30

The above formula is also known as double angle formula for Sin2A.