Question

sin( A-b)=1 / 2 , cos (a+b) =1/2 find a and b

Answer 1

sin (a-b)=1/2
sin (a-b)= sin 30
a-b=30

cos (a+b)=1/2
cos (a+b)=cos 60
a+b=60


a-b=30
a+b=60
2a=90
a=45
b=15

Answer 2

sin (a-b) =1/2=sin30
a-b=30------->i
now
cos(a+b)=1/2=cos 60
a+b=60-------ii
now on adding first and second equation, we get
a-b+a+b=30+6p
2a=90
a=45.
now putting a=45 in first equation, we get
45-b=30
b=15.
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