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Question

If tanθ=43 and θ does not lie in the second quadrant, so the value of sinθ is
  1. 45
  2. 45
  3. ±45 
  4. ±35 


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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