If `sin A = sin B and cos A = cos B,` find all the values of A in term – InterviewSolution

InterviewSolution

1.	If `sin A = sin B and cos A = cos B,` find all the values of A in terms of B.
Answer» `sin A- sin B=0` and `cos A-cos B=0` `rArr 2"sin" (A-B)/2 "cos" (A+B)/2=0` and `2 "sin" (A+B)/2 "sin" (B-A)/2 =0` We observe that the common factor gives `"sin" (A-B)/2=0`. Thus, `(A-B)/2 = npi, n in Z` or `A-B=2n pi, n in Z` or `A=2n pi +B, n in Z`

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