If and x lies in the IInd quadrant, find the values of sin 2x and

Question

Philoid · Accepted Answer

Given:

We know,

cos 2x = 1 – 2 sin² x

Since,

So,

We know,

sin² x + cos² x = 1

⇒ sin² x = 1 – cos² x

Since,

⇒sin x will be positive in second quadrant

So,

Now,

sin 2x = 2(sin x)(cos x)