If sin (A – B) = cos (A + B) = 1/2, then the values of A and B lying between 0° and 90° are respectively.
Answers
Answered by
8
sin(a-b)=1/2 cos(a+b)=1/2
sin30=1/2. cos60=1/2
sin(a-b)=sin30. cos(a+b)=cos60
a-b=30. 1st equation. a+b=60 2nd equation
solve 1st and 2nd equation by elimination
a-b=30
a+b=60
2a. =90
a. =90/2
a. =45
put value of a in equation 1
a-b=30
45-b=30
45-30=b
b=15
sin30=1/2. cos60=1/2
sin(a-b)=sin30. cos(a+b)=cos60
a-b=30. 1st equation. a+b=60 2nd equation
solve 1st and 2nd equation by elimination
a-b=30
a+b=60
2a. =90
a. =90/2
a. =45
put value of a in equation 1
a-b=30
45-b=30
45-30=b
b=15
Similar questions