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Question

Simplify the expression -
(cosec2θ1)×(sec2θ1)

A
cot2θ
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B
tan2θ
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C
1
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D
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Solution

The correct option is C 1
We know that,
cosec2θ1=cot2θ
and sec2θ1=tan2θ
(cosec2θ1)×(sec2θ1)

=(cosec2θ1)×(sec2θ1)
=cot2θ×tan2θ
=cot2θ×1cot2θ
=1

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