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Question

Choose the correct option. Justify your choice.(secA+tanA)(1sinA)=?


A

secA

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B

sinA

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C

cscA

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D

cosA

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Solution

The correct option is D

cosA


We know that secA is equivalent to 1cosA and tanA is equivalent to sinAcosA.

Similarly,sin2A+cos2A=1

Now solve (secA+tanA)(1sinA):

(1cosA+sinAcosA)(1sinA)(1+sinAcosA)(1sinA)1sin2AcosAcos2AcosAcosA

Hence, the correct option is (D).


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