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

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Yifan12879Best ResponseYou've already chosen the best response.1
because cos x cos x = 1 sin x sin x
 2 years ago

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

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

Hannah_AhnBest ResponseYou've already chosen the best response.0
that was simple. thanks.
 2 years ago

Hannah_AhnBest ResponseYou've already chosen the best response.0
Yifan 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
 2 years ago

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

Yifan12879Best ResponseYou've already chosen the best response.1
actually i should use LHSRHS=0 to prove that
 2 years ago
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