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Prove that 2 sec ^(2) theta-2 cosec^2the...

Prove that `2 sec ^(2) theta-2 cosec^2theta-sec ^(4) theta+cosec^4 theta=cot ^(4) theta-tan ^(4) theta`

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(L.H.S)=2 sec ^(2) theta-sec ^(4) theta+(cosec)^(4) theta-2 (cosec)^(2) . theta.
.=-(sec ^(4) theta-2 . sec ^(2) theta+1)+((cosec)^(4) theta-2 (cosec)^(2) theta+1).
.=-(sec ^(2) theta-1)^(2)+((cosec)^(2) theta-1)^(2)=-tan ^(4) theta+cot ^(4) theta=cot ^(4) theta-tan ^(4) theta.
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