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dexar [7]
3 years ago
15

Write the expression as the sine, cosine, or tangent of an angle. sin 5x cos x - cos 5x sin x

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
6 0

Answer:

sin 5x cos x - cos 5x sin x = sin(4x)

Step-by-step explanation:

Given that the trigonometric expression,

sin 5x cos x - cos 5x sin x

Here we use the "sum and difference formulas"

Sum and Difference Formulas

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

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

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

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

So,

sin 5x cos x - cos 5x sin x = sin (5x - x)

sin 5x cos x - cos 5x sin x =  sin(4x)

That's the final answer.

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IrinaVladis [17]

Option D: Graph C is the solution to the system of linear inequalities.

Explanation:

The system of linear inequalities are y \geq 2 x+1 and y

Let us graph the inequality y \geq 2 x+1

Let us substitute the coordinate (0,0) in the inequality y \geq 2 x+1, we get,

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0

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This is false. Hence, the solution does not contain the coordinate (0,0)

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Hence, Option D is the correct answer.

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Answer:

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