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Question

If tan θ=15 and θ lies in the first quadrant, the value of cosθ is

A
16
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B
56
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C
16
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D
56
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Solution

The correct option is B 56
Given θ lies in first quadrantcosθ>0
tanθ=15
As we know that
sec2θ=1+tan2θ=1+(15)2=1+15=65
secθ=65
cosθ=1secθ=165=56

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