Question

If sin(a+b)=1 and sin(a-b)=1/2 find a and b

Answer 1

Answer:

Given that,

sin(a+b)=1

=)sin(a+b)=sin 90°

=)a+b=90°...................(i)

sin(a-b)=1/2

=) sin(a-b)=sin30°

=) a-b=30°....................(ii)

(i)+(ii)

=) a+b+a-b=90°+30°

=)2a=120°

=)a=120°/2

=)a=60°

putting a value in equation (i)

a+b=90°

=)60°+b=90°

=)b=90°-60°

=)b=30°

a=60° , b=30°