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Question

cot2α=1+a2 then cosecα+cot3αsecα=?

A
(1+a2)23
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B
(2+a2)23
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C
(1+a2)32
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D
(2+a2)32
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Solution

The correct option is B (2+a2)32
cosecα+cot3αsecα
=1sinα+cos2αsin3α=sin2α+cos2αsin3α=1sin3α
=cosec3α
=(1+cot2α)32
=(1+a2)32

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