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Prove the following identity. 

tan²θcos²θ+cot²θsin²θ=1

 Apr 22, 2020
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    tan2(x)·cos2(x)  +  cot2(x)·sin2(x)

=  [ sin2(x) / cos2(x) ] · cos2(x)  +  [ cos2(x) / sin2(x) ] · sin2(x)

=  [ sin2(x) / cos2(x) · cos2(x) ]  +  [ cos2(x) / sin2(x) · sin2(x) ]

=  sin2(x)  +  cos2(x)

=  1

 Apr 22, 2020

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