21. If sin (A + B) = 1 and sin (A - B) =1/2
OSA+B -90° and A > B, then find A and
B.
[CBSE 2016]
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Step-by-step explanation:
sin(A+B)=1
sin(A+B)=sin90
A+B=90
A=90-B.........(1)
sin(A-B)=1/2
sin(A-B)=sin30
A-B=30
90-B-B=30
-2B=-60
B=30
(1) A=90-30
A=60
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