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 3 years ago
prove the identity
\[\left( \cos x \over 1 +\sin x \right)=\left( 1\sin x \over \cos x \right)\]
 3 years ago
prove the identity \[\left( \cos x \over 1 +\sin x \right)=\left( 1\sin x \over \cos x \right)\]

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Yifan12879
 3 years ago
Best ResponseYou've already chosen the best response.1because cos x cos x = 1 sin x sin x

Mr.Math
 3 years ago
Best ResponseYou've already chosen the best response.3By multiplying the left hand side by 1sinx, we get \[{\cos{x}(1\sin{x}) \over 1\sin^2{x}}={\cos(x)(1\sin(x) \over \cos^2(x)}={1\sin{x} \over \cos{x}}\]

Mr.Math
 3 years ago
Best ResponseYou've already chosen the best response.3Which is what we have on the right hand side obviously.

Hannah_Ahn
 3 years ago
Best ResponseYou've already chosen the best response.0that was simple. thanks.

Hannah_Ahn
 3 years ago
Best ResponseYou've already chosen the best response.0Yifan you help me so much! and I really appreciate it, but many of times I don't understand the way you teach.. I am sorry. :S

Mr.Math
 3 years ago
Best ResponseYou've already chosen the best response.3His argument is not that difficult, he's using that if a=b\(\ne\)0, then a/b=1.

Yifan12879
 3 years ago
Best ResponseYou've already chosen the best response.1actually i should use LHSRHS=0 to prove that
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