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Q.

From the following options, find the value of cos 29 ° sin 61 °  .


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a

sin29°  

b

cos61°  

c

1

d

0 

answer is C.

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Detailed Solution

Given that, cos 29 ° sin 61 °  .
We know that, the complementary formula for sinθ   is:
sin( 90 ° −θ)=cosθ  
Convert sinθ   into cosθ   trigonometric function.
⇒ cos 29 ° sin 61 ° = cos 29 ° cos( 90 ° − 61 ° )   ⇒ cos 29 ° sin 61 ° = cos 29 ° cos 29 ° ⇒ cos 29 ° sin 61 ° =1   Thus, cos 29 ° sin 61 ° =1  .
Hence, option 3) is correct.
 
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