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Fiesta28 [93]
3 years ago
13

Write the expression as the sine, cosine, or tangent of an angle.

Mathematics
2 answers:
elena55 [62]3 years ago
5 0

Answer:

\sin (8x)=\sin (9x) \cos (x) - \cos (9x)\sin (x)

Step-by-step explanation:

Given : Expression \sin (9x) \cos (x) - \cos (9x)\sin (x)

To write : The given expression as the sine, cosine, or tangent of an angle?

Solution :

The given expression is in the form \sin A\cos B-\cos A \sin B

Using trigonometric identity,

\sin (A-B)=\sin A\cos B-\cos A \sin B

Substituting, A=9x , B=x

\sin (9x-x)=\sin (9x) \cos (x) - \cos (9x)\sin (x)

\sin (8x)=\sin (9x) \cos (x) - \cos (9x)\sin (x)

Therefore, The given expression is in the sin form sin(8x).

Georgia [21]3 years ago
3 0

Answer:

sin 8x

Step-by-step explanation:

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