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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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dmitriy555 [2]

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Step-by-step explanation:

The missing number is 121. I got this by doing 764-130-513=121. You would do this because you are trying to find the number that would allow 130 and 513 to add up to 764.

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Slav-nsk [51]

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<h3>What is a transformation?</h3>

In Mathematics, a transformation can be defined as the movement of a point from its original (initial) position to a final (new) location. This ultimately implies that, when an object is transformed, all of its points would be transformed as well.

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<h3>What is a reflection?</h3>

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