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tan^(2)theta+cot^(2)theta+2=sec^(2)theta...

`tan^(2)theta+cot^(2)theta+2=sec^(2)theta cosec^(2)theta`

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prove that tan^(2)theta+cot^(2)theta=sec^(2)theta+cosec^(2)theta-2

prove that: tan^(2) theta-cot^(2) theta=sec^(2) theta- cosec^(2) theta

Statement 1: tan^(2)(sec^(-1)2)+cot^(2)(cosec^(-1)3)=11 . Statement -2 :tan^(2)theta+sec^(2)theta=1=cot^(2)theta+cosec^(2)theta

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The value of cosec ^(2) theta cot ^(2) theta - sec ^(2) theta tan ^(2) theta -(cot ^(2) theta- tan ^(2) theta) (sec ^(2) theta cosec ^(2) theta -1) is-