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Q.

If sin 37 ° =a  , then the value of cos 53 °   in terms of a   from the following options is:


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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, sin 37 ° =a  .
We know that, the complementary angle formula is:
sinθ=cos( 90 ° −θ)  
Put value of θ   in respective trigonometric functions.
Here, θ= 37 °  .
⇒sin 37 ° =cos( 90 ° − 37 ° ) ⇒a=cos53°   Thus, cos( 53 ° )=a  .
Hence, option 2) is correct.
 
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