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Q.

Find the value of sin43°cos47°+cos43°sin47°


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a

0

b

1

c

sin4°

d

cos4° 

answer is B.

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Detailed Solution

Taking
sin43˚cos47˚+cos43˚sin47˚
Writing sin 47° and cos47° in form of angle 43° so we get = sin 43˚cos(90−˚​43˚)+cos43˚sin(90−˚​43˚)
We know that,
 sin (90°- θ)= cos θ and cos (90°-θ)=sin θ
=sin43˚sin43˚+cos43˚cos43˚
 =sin243˚+cos243˚
 =1
Hence 2 is the correct option.
 
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