Question

If sin (A-B)=1/2 and cos (A+B)=1/2 Find A and B (please give me photo solution) ​

Answer 1

Answer:

The answer will be:

 A = 45°

and, B = 15°

Step-by-step explanation:

Given;

sin (A-B)=1/2

cos (A+B)=1/2

We know that,

sin 30° = 1/2

and, cos 60° = 1/2

Thus, from given and our knowledge, it can be concluded that;

sin (A-B) = sin 30°

and cos (A+B) = cos 60°

Thus, A-B = 30. (i)

and, A+B = 60. (ii)

Add eq. (i) and (ii);

Hence, A-B + A+B = 30 + 60

2A = 90

A = 45°

and, A+B = 60

45 + B = 60

B = 15°.

That's all.