He has 12 sad songs and 40 upbeat songs that he wants to put into playlist

Mathematics

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podryga [215]2 years ago

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I tried to answer this question but I can’t find the answer

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How to verify frac(sec theta/ csc theta- cot theta -frac(sectheta/csc theta +cot theta = 2csc theta

drek231 [11]

$\frac{sec \theta}{ csc \theta- cot \theta }-\frac{sec \theta}{csc \theta +cot \theta}= 2csc$

$\ sec(x)= \frac{1}{cos(x)} \\ csc(x)= \frac{1}{sin(x)} \\ cot(x)=\frac{sin(x)}{sin(x)} \\ sin^2(x)+cos^2(x)=1$

$\frac{sec \theta( csc \theta+cot \theta)}{ (csc \theta- cot \theta)( csc \theta+ cot \theta) }-\frac{sec \theta( csc \theta- cot \theta)}{( csc \theta- cot \theta)(csc \theta +cot \theta)} \\ =\frac{sec \theta csc \theta+sec \theta cot \theta-sec \theta csc \theta+sec \theta cot \theta}{ csc^2 \theta- cot^2 \theta }$
$=\frac{2sec \theta cot \theta}{ csc^2 \theta- cot^2 \theta } \\ = \frac{2 \times \frac{1}{cos\theta}\times\frac{cos\theta } {sin\theta }}{(\frac{1 } {sin\theta })^2-(\frac{cos\theta } {sin\theta })^2} \\ = \frac{\frac{2 } {sin\theta }}{\frac{1-cos^2\theta } {sin^2\theta }} \\ =\frac{\frac{2 } {sin\theta }}{\frac{sin^2\theta } {sin^2\theta }} \\ =\frac{2 } {sin\theta } \\ =2 \times \frac{1}{sin\theta } \\ =2csc \theta$

$\frac{sec \theta}{ csc \theta- cot \theta }-\frac{sec \theta}{csc \theta +cot \theta}= 2csc$

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3 years ago

.Which of these numbers are factors of 9? Check all that apply. 1 2 3 9 18

Law Incorporation [45]

The factors of 9 are 1, 3, and 9

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2 years ago

Am i getting paid for answering questions @eurpoa2344

Anastasy [175]

Answer:

ooooo thats rlyy cooll!!

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