Question

if cos a + b is equal to half is equal to sin a minus b then find a and b when it is given that a + b and a minus b are acute angles

Answer 1

Answer:

A= 45 & B= 15

Explanation:

Given that

cos(A+B)= 1/2= cos60

A+B = 60 ..... Eqn(1)

Similarly, sin(A-B)= sin30

A-B= 30 .... Eqn (2)

Adding eqn 1 & 2-

2A= 90

A= 45

From eqn 1-

B= 15

Hope you understood well.