Q. 30 C5.0( 1 Vote )

# If and find the value of sin 4x.

Answer :

**Given:**

**To find:** Values of sin4x

We know,

sin^{2} x + cos^{2} x = 1

⇒ cos^{2} x = 1 – sin^{2} x

Since,

⇒cosx will be negative in first quadrant

So,

We know,

sin 2x = 2 sin x cos x

cos 2x = 2 cos^{2} x – 1

Therefore,

sin 4x = 2 sin 2x cos 2x

⇒ sin 4x = 2 (2 sin x cos x) (2 cos^{2} x – 1)

Hence, value of

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