Math, asked by shiveshgupta2003, 1 year ago

pls anyone can do this question?????!!!!​

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Answered by abhishek673450
0

Answer:

yeah but condition is s that

u have to follow me

Answered by praneethks
1

Step-by-step explanation:

sin(A)+sin(B) = 2sin(A+B)/2 cos(A-B)/2

sin(A)- sin(B) = 2sin(A-B)/2 cos(A+B)/2

The R.H.S. can be written as

( \sin( \frac{\pi}{8} +  \frac{a}{2}) +  \sin( \frac{\pi}{8} -  \frac{a}{2}  ) )  \times

( \sin( \frac{\pi}{8} +  \frac{a}{2}) -  \sin( \frac{\pi}{8} -  \frac{a}{2} )  =  >

(2 \sin( \frac{\pi}{8}) \cos( \frac{ - a}{2} ) )  (2 \cos( \frac{\pi}{8} ) \sin( \frac{a}{2} ))

cos(-x) =>cos(x)

 =  > (2 \cos\frac{\pi}{8} \sin\frac{\pi}{8})(2 \sin( \frac{a}{2} \cos( \frac{a}{2} ) )  =  >

2 sin(a) cos(a) = sin(2a)

 \sin( \frac{\pi}{4} ) \sin(a)  =  >  \frac{1}{ \sqrt{2}} \sin(a)

Hence proved.Hope it helps you.

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