Question

If cos(a+b)=0 and sin ( a-b) = 1/2 find a and b
With steps please

Answer 1

cos (a+b)=cos a cos b-sin a sin b
sin (a-b)=sin a cos b-cos a sin b

Answer 2

i think cos 90=0 so it three cases a=45 b=45
a=30 b=60
a=60 b=30

Answer 3

if in first case a=45 b=45
then sin(a-b) wont work

Answer 4

Thankyou :)

Answer 5

in second case works for both

Answer 6

then a=30 b=60