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Q.

If sin 52 ° =a,   then express cos 38 °   in terms of a.


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a

a 2  

b

a

c

2a

d

a+ a   

answer is B.

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Detailed Solution

Given that, sin52°=a  .
We know that, the complementary angle formula is:
sinθ=cos( 90 ° −θ)  
Put value of θ   in respective trigonometric function
Here, θ= 52 °  .
⇒sin 52 ° =cos( 90 ° − 52 ° ) ⇒a=cos38°   Thus, cos( 38 ° )=a  .
Hence, option 2) is correct.
 
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If sin 52 ° =a,   then express cos 38 °   in terms of a.