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Question

Evaluate: 1sin2x1+cosx+1+cosxsinxsinx1cosx=

A
sinx
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B
cosx
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C
cosec x
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D
secx
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Solution

The correct option is A cosx
1sin2x1+cosx+1+cosxsinxsinx1cosx

(1+cosx)(1cos2x)(1+cosx)+1cos2xsin2xsinx(1cosx)

(1+cosx)(11+cosx)1+cosx+11sinx(1cosx)

cosx+0

cosx.

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