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Question

If tanθ+secθ=m, then what is secθ equal to?

A
m212 m
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B
m2+12 m
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C
m+1m
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D
m2+1m
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Solution

The correct option is A m2+12 m
secθ+tanθ=m.......(1)
Now sec2θtan2θ=1

(secθtanθ)(secθ+tanθ)=1

(secθtanθ)=1secθ+tanθ

secθtanθ=1m.....(2)

Adding (1) & (2)

2secθ=m+1m

secθ=m2+12m

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