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please please answer this question if tan alpha =√a where a is rational number which is not a perfect square then which of the following is rational number a.sin2 alpha b.tan2 alpha c.cos2 alpha d.cot alpha

please please answer this question if tan alpha =√a where a is rational number which is not a perfect square then which of the following is rational number
a.sin2 alpha
b.tan2 alpha
c.cos2 alpha
d.cot alpha

Grade:11

2 Answers

Arun
25750 Points
5 years ago
cos 2 alpha = 1 – tan^2 alpha / 1 + tan^2 alpha
 
 = 1 – a / 1+a
 
Hence a rational number
 
So option 3 is correct
yathartha gupta
71 Points
5 years ago
Cot alp

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