Prove the identity: (sin x)/(1-cos x)=csc x+cot x

Dayanara Terry 2022-07-15 Answered
Prove the identity:
sin x 1 cos x = csc x + cot x
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Answers (2)

treccinair
Answered 2022-07-16 Author has 18 answers
sin x 1 cos x = csc x + cot x
sin x 1 cos x ( 1 + cos x ) ( 1 + cos x )
= sin x sin x cos x 1 cos 2 x       sin 2 x + cos 2 x = 1
= sin x + sin x cos x sin 2 x       sin 2 x = 1 cos 2 x
= sin x sin 2 x + sin x cos x sin 2 x
= 1 sin x + cos x sin x
= csc x cot x
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Jeffrey Jordon
Answered 2022-08-01 Author has 2581 answers

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