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slava [35]
3 years ago
10

Which of the following expression expressions is equivalent to cos3x/sinxcosx?

Mathematics
2 answers:
77julia77 [94]3 years ago
8 0
Correct Option:
Option B

Solution:
The given expression is:

\frac{cos(3x)}{sin(x)cos(x)}

cos(3x) can be written as cos(2x +x). Expanding it, we get:

cos(3x) = cos(2x+x) \\  \\ 
cos(3x) =cos(2x)sin(x)-sin(2x)cos(x)

Using this value of cos(3x) in given equation, we get:

\frac{cos(3x)}{sin(x)cos(x)} \\  \\ 
= \frac{cos(2x)sin(x)-sin(2x)cos(x)}{sin(x)cos(x)} \\  \\ 
= \frac{cos(2x)sin(x)}{sin(x)cos(x)}- \frac{sin(2x)cos(x)}{sin(x)cos(x)}  \\  \\ 
= \frac{cos(2x)}{cos(x)} - \frac{sin(2x)}{sin(x)} \\  \\ 
=sec(x)cos(2x)-csc(x)sin(2x)
krek1111 [17]3 years ago
4 0

Answer:

A.) cscxcos2x-secxsin2x

Step-by-step explanation:

I'm sorry I really do not know how to solve this but I just did the quiz and b was not correct.

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Simplify (3s^8)^-5 write your answer using only positive exponents. help please!!
loris [4]

Answer:

1 / ( 243s^40 )

Step-by-step explanation:

For this problem, we need to know that a negative exponent simply can be rewritten in the opposing part of the fraction, for this case, the denominator.  So we can simplify as shown:

(3s^8)^-5

= 1 / (3s^8)^5

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Cheers.

3 0
3 years ago
Andre is setting up rectangle tables for a party. He can fit 6 chairs around a single table. Andre lined up 10 tables end to end
IRINA_888 [86]
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HELP ME PLEASE!!!!!!
gladu [14]

Answer:

6x²y²

Step-by-step explanation:

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36: 1 2 3 4 6 9 12 18 36

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x² = x × x

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the common factor are for x and y are

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Answer:

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Step-by-step explanation:

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