Question

cosec^2 theta -sin^2theta - cos^2e theta
*****
A) cot theta
B) tan theta
C) cosec theta
D) sec theta
$\sqrt{cosec ^{2} - sin ^{2} - cos }^{2}$
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Answer 1

let theta=A

Now,

=√cosec^2A - sin^2A - cos^2A

=√cosec^2A - (sin^2A + cos^2A)

=√cosec^2A -1

=√cosec^2A - (cosec^2A -cot^2A)

=√cosec^2A - cosec^2A + cot^2A

=√cot^2A

=cotA

=cot theeta

Option (A) is correct.