ce -tan (A+B)
show that sinit-sin B
a sinA COSA- SinB COSB
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The range of ‘Sin’ and ‘Cos’ function is [-1,1].
so the max value sin can have is 1.
Now, coming back to the ques we have
SinA+SinB=2
if we consider either SinA or SinB less than 1 , then other Sin has to be greater than 1 , in order to give the submission equal to 2.
For eg .
lets suppose Sin A = 0.5=(1/2)
0.5 + SinB = 2
Sin B = (2–0.5) = 1.5
Sin B > 1, which violates the fundamental range of Sin function i.e [-1,1].
Therefore both has to be equal to 1.
SinA=SinB=1
which implies A=B=90 degrees.
Cos (90) = 0
therefore, CosA+CosB = Cos(90) + Cos(90) =0.
Step-by-step explanation:
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