Question

If sin(A-B)=1/2 , cos(A+B)=1/2 ,0degree

Answer 1

Answer:

A = 45°, B = 15°

Step-by-step explanation:

Sin ( A - B ) = 1 / 2

A - B = 30° ..........(1)

Cos ( A + B ) = 1 / 2

A + B = 60° ...........(2)

Eliminating (1) and (2)

A + B = 60°

A - B = 30°

________

2A = 90°

A = 45°

Using this in (2),

45° + B = 60°

B = 15°

Answer 2

Answer:

sin( A-B)=1/2

sin(A-B)=sin30°

A-B=30° -------------equation 1

cos(A+B)=1/2=cos60°

A+B=60°-------------equation2

By solving, equation 1&2

2A=90°

A=45°

B=15°