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Question

If tanθ=43 and θ does not lie in the second quadrant, so the value of sinθ is

A
45
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B
45
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C
±45
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D
±35
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Solution

The correct option is A 45
Given: tanθ=43
So, θ lies in second or fourth quadrant,
sinθ=±432+42=±45
As given that θ does not lie in the second quadrant, so
θ lies in fourth quadrant
sinθ=45

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