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3 years ago

Can someone write out the steps on how to verify this identity?

Mathematics

1 answer:

zhenek [66]3 years ago

3 0

Step-by-step explanation:

(csc θ − 1) / cot θ

Multiply top and bottom by the conjugate csc θ + 1.

(csc θ − 1) (csc θ + 1) / (cot θ (csc θ + 1))

Distribute.

(csc²θ − 1) / (cot θ (csc θ + 1))

Use Pythagorean identity.

cot²θ / (cot θ (csc θ + 1))

Divide.

cot θ / (csc θ + 1)

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3. Your friend shows you a scale drawing of her apart-

andrey2020 [161]

Answer:

The answer is 20 feet

Step-by-step explanation:

We know that her apartment sketch is 6 by 4 inches.

If the 6 inch side is actually 30 feet and 6 goes into 30 5 times, we should multiply 4 by 5 to get proportionate answers.

Therefore her apartment is 20*30 feet

Hope this helps

8 0

3 years ago

-24 divided by the fraction 4 over 8

julsineya [31]

Answer:

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Step-by-step explanation:

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2 years ago

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Helen [10]

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3 years ago

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Luden [163]

Answer:

Step-by-step explanation:

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2 years ago

Read 2 more answers

Assume the heights in a female population are normally distributed with mean 65.7 inches and standard deviation 3.2 inches. Then

siniylev [52]

Answer:

0.620

Step-by-step explanation:

We know that 1 feet = 12 inches, so, 5 feet is equivalent to 60 inches. Then, we are looking for the probability that a typical female from this population is between 60 inches and 67 inches. We know that

$\mu$ = 65.7 inches and

$\sigma$ = 3.2 inches

and the normal density function for this mean and standard deviation is

$\frac{1}{\sqrt{2\pi } 3.2}exp[-\frac{(x-65.7)^{2}}{2(3.2)^{2}} ]$

The probability we are looking for is given by

$\int\limits^{67}_{60} {\frac{1}{\sqrt{2\pi } 3.2}exp[-\frac{(x-65.7)^{2}}{2(3.2)^{2}} ] } \, dx =0.620$

You can use a computer to calculate this integral. You can use the following instruction in the R statistical programming language

pnorm(67, 65.7, 3.2)-pnorm(60, 65.7, 3.2)

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3 years ago