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Question

If sin θ=817 where 00<θ<900, then tan θ+secθ

A
13
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B
23
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C
43
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D
53
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Solution

The correct option is D 53
Given 0<θ<90cosθ>0
sinθ=817
cosθ=1sin2θ=1(817)2=17282172=152172=1517
tanθ+secθ=sinθcosθ+1cosθ=1+sinθcosθ=1+8171517=8+1715=2515=53

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