If SinA +SinB = 2 then find out sin²A + Sin²B.
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Step-by-step explanation:
We all know that sin is cyclic function from R->[0,1].
So, possible solutions for
sinA +sinB =2
This can only be possible when both sin functions are in maximum.
Hence,
SinA = 1
and A= n (π/2). Where n is odd
And similarly,
B= n (π/2). Where n is odd
Therefore
A+B = (m+n)(π/2) where m,n are odd
A+B = k(π/2) and k is even (as the sum of two odd numbers is even.)
As Sin(A+B)= 0, For all even multiples of π/2
Hence,
Sin(A+B)=0
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