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Question

If secθ+tanθ=x,then secθ= 



Your Answer
A

x2+1x

Correct Answer
B

x2+12x

Your Answer
C

x212x

Your Answer
D

x21x


Solution

The correct option is B

x2+12x


secθ+tanθ=x ...... (1)
Multiply secθtanθ on both sides,
(secθ+tanθ)(secθtanθ)=x(secθtanθ)
1=x(secθtanθ)
secθtanθ=1x .....(2)

Adding equation (1) and (2) we get,
2secθ=1x+x
secθ=x2+12x

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