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Question

If tanθ=34, then find the value of secθ.

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Solution

tanθ=34

sinθcosθ=34

4sinθ=3cosθ

42.(1cos2θ)=32cos2θ

1616cos2θ=9cos2θ

25cos2θ=16

cos2θ=16/25

cosθ=16/25

cosθ=4/5

secθ=1/cosθ

=14/5

=54

secθ=54.

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