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prove (1-cos(x))/(1+cos(x))=(cot(x)-csc(x))^2

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(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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prove 1−cos(x)1+cos(x) =(cot(x)−csc(x))²

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True

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1−cos(x)1+cos(x) =(cot(x)−csc(x))²

Manipulating right side

(cot(x)−csc(x))²

Express with sin, cos

=(−1+cos(x))²sin²(x)

Rewrite using trig identities

=−cos(x)−1cos(x)+1

=−(−1+cos(x))1+cos(x)

Simplify

=1−cos(x)1+cos(x)

We showed that the two sides could take the same form

⇒ True

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prove (1-cos(x))/(1+cos(x))=(cot(x)-csc(x))^2

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