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8 sin x cos3 x + 8 sin3 x cos x = ?
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24 votes
8 sin x cos3 x + 8 sin3 x cos x = ?

User Machtnix
by
4.4k points

2 Answers

1 vote

Answer:

Explanation:

We use the known identity:

sin (A + B) sin A cos B + cos A sin B.

8 sin x cos 3x + 8 sin 3x cos x

= 8 (sin x cos 3x + sin 3x cos x)

= 8sin (x + 3x)

= 8 sin 4x

User Tottomotto
by
4.9k points
2 votes

Identity :

sin (A + B) sin A cos B + cos A sin B

= 8 sin x cos 3x + 8 sin 3x cos x

= 8 (sin x cos 3x + sin 3x cos x)

= 8sin (x + 3x)

= 8 sin 4x

User Aevitas
by
5.3k points
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