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Q.

From the following options, the value of cos 53 ° sin 37 °   is:


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a

sin53°  

b

cos37°  

c

1

d

0 

answer is C.

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Detailed Solution

It is given that, cos 53 ° sin 37 °  .
We know that, the complementary formula for sinθ   is:
sin( 90 ° −θ)=cosθ  .
Convert sinθ   into cosθ   trigonometric function.
⇒ cos 53 ° sin 37 ° = cos 53 ° cos( 90 ° − 37 ° )   ⇒ cos 53 ° sin 37 ° = cos 53 ° cos 53 ° ⇒ cos 53 ° sin 37 ° =1   Thus, cos 53 ° sin 37 ° =1  .
Hence, option 3) is correct.
 
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