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3 years ago

How do I prove that (1+sinx)/cosx=cos(-x)/(1+sine(-x))

Mathematics

1 answer:

stira [4]3 years ago

5 0

$\dfrac{1+\sin x}{\cos x}=\dfrac{\cos (-x)}{1+\sin(-x)}\\
\dfrac{1+\sin x}{\cos x}=\dfrac{\cos x}{1-\sin x}\\
\cos^2 x=(1+\sin x)(1-\sin x)\\
\cos^2 x=1-\sin^2 x\\
\sin^2 x+\cos^2 x=1
$

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Annie earns $7.50 per hour working after school. She needs at least $185 for a stereo system. Write an inequality that describes

Lyrx [107]

Answer:

7.50x=185

Step-by-step explanation:

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2 years ago

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How can you tell when a pattern shows counting on by tens?

velikii [3]

Answer:
The difference between successive terms is 10

Explanation:
To know the factor by which a certain pattern is increasing/decreasing, you need to subtract its successive terms.

If the subtraction gives you 10, this means that the pattern is increasing by 10

Examples:
10, 20, 30, 40, 50, .....
20 - 10 = 10
30 - 20 = 10
40 - 30 = 10
50 - 40 = 10
The difference between each two successive terms is 10. This means that each time we add 10 to the number we have in order to get the next one.
Therefore, this pattern is increasing by 10

37, 47, 57 , .....
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The difference between each two successive terms is 10. This means that each time we add 10 to the number we have in order to get the next one.
Therefore, the pattern is increasing by 10

Hope this helps :)

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2 years ago

Divide 2/8 by 9/18 . Input your answer as a reduced fraction.\

Katen [24]

$\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{2}{8}\div\frac{9}{18} }} \end{gathered}$}$

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1 year ago

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Help !!!!!!!!!!!!!!!!

umka2103 [35]

Answer:

13) 8.6

Step-by-step explanation:

To find the side length, use a trig function to solve for x.

You have the adjacent side and hypotenuse to the angle. Use the cosine function since its ratio is adjacent over hypotenuse.

This means Cos 52 = x / 14. Solve for x.

Cos 52 = x / 14

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2 years ago

What is the real number value of m^3+ √12 m when 5m^2 = 45 ?

babymother [125]

<h3>Answer: H. 33</h3>

=============================================

Work Shown:

Solve 5m^2 = 45 for m to get

5m^2 = 45

m^2 = 45/5

m^2 = 9

m = sqrt(9)

m = 3

I'm making m to be positive so that way the expression 12m is not negative. Otherwise, sqrt(12m) would not be a real number result.

--------------

Plug m = 3 into the expression we want to evaluate

m^3 + sqrt(12m)

3^3 + sqrt(12*3)

27 + sqrt(36)

27 + 6

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2 years ago