Question

4. If sin(A - B)=1/2 and 2 cos(A+B) - 1. Find A & B.​

Answer 1

Answer:

A is 45 and B is 15

Step-by-step explanation:

hope it helps you

Answer 2

Answer:

A = 45°

B = 15°

Step-by-step explanation:

sin(A-B) = 1/2---------------------(1)

2cos(A+B) = 1

=> cos(A+B) = 1/2----------------(2)

Now, from (1) and (2)

sin(A-B) = cos(A+B)

=> sin(A-B) = sin[90°-(A+B)]

=> A-B = 90°-A-B

=> A-B+A+B = 90°

=> 2A = 90°

=> A = 45°

Now, putting the value of A in (1),

sin(45°-B) = 1/2

=> sin(45°-B) = sin30° [since 1/2 = sin30°]

=> 45°- B = 30°

=> -B = 30°-45°

=> -B = -15°

=> B = 15°

hope it helps u....