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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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Your school's drama club charges $4 per student for admission to Our Town. The club borrowed $400 from parents to pay for costum
inna [77]

Answer:

125 students attend.

Step-by-step explanation:

We already know that the drama club made $500 (500 - 400 = 100)

divide 500 by 4 to find out how many students attend the play, and paid $4

500 ÷ 4 = 125

125 students attend.

6 0
3 years ago
Can someone help me please
masya89 [10]

Answer:

A) (3,-8); Reflection

Step-by-step explanation:

The question kind of gave you a hint. Look at how the coordinate point is arranged...

(-y,-x)

That means all positive become negatives and all negatives become positives. This gives you the coordinate of (3,-8).  

As for reflection or rotation, the image's coordinates FLIPPED, like how images do in a mirror's reflection.

This means the answer would be A) (3,-8); Reflection.

4 0
3 years ago
Every year, the amount of CO2 in the atmosphere increases by a factor of
MrRa [10]
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8 0
3 years ago
Solve the proportion using equivalent ratios. Explain the steps you used to solve the proportion, and include the answer in your
rodikova [14]

Answer: Your answer is X=6

Step-by-step explanation:

10/3 = 20/x

Determine the defined range

10/3 20/x, x=0

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10x = 60

Divide both sides by 10

x=6,x=0

Check if the solution is in the defined range

SOLUTION x=6

<u><em>I HOPE THIS HELPS IF NOT THE SORRY</em></u>

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4 0
3 years ago
Simplify the expression 2 × 36 − 24 ÷ 6
marin [14]

Answer:

68

Step-by-step explanation:

P- parentheses

E- exponential

M- multiplication

D- division

A- addition

S- subtraction

2 x 36 = 72

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72 - 4 = 68

3 0
3 years ago
Read 2 more answers
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