Question

If sin (A - B) = 1/2, cos (A + B) = 1/2, 0° < A + B _< 90°, A > B, find the value of A and B.​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

A =45 and B=15

Step-by-step explanation:

sin(A-B)=1/2

cos(90+B-A)=1/2 :sin#=cos(90-#)

so

hence cos (A+B) =1/2

so

cos(A+B)=cos(90+B-A )

A+B=90+B-A

2A=90

A=45

therefore B=15