Question

If sin (a+b)=1 and cos (a-b)=1 find the value of A and B.

Answer 1

this is your answer just see it

Answer 2

Sin(a+b)=1 ——-[1].                              

Cos(a-b)=1———-[2]

From 1 &2

     Sin(a+b)=cos (a-b)

     Sin (a+b)= sin (90-a+b)

Sin gets cancelled on both sides

       a+b=90-a+b

       2a=90

        a=45

since a and b are complementary to each other

a+ b=90

B=90-45=45

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