Q38 of 123 Page 9

If sin α + sin β = a and cos α + cos β = b, prove that

Given: sin α + sin β = a & cos α + cos β = b



Proof:


sin α + sin β = a ………(3)


cos α + cos β = b ……(4)


Dividing equation 3 and 4:






We know,



Therefore,








Hence Proved


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