Question

if sin(A - B) = 1/2 and cos(A + B) = 1/2, O degree B. Find A and B.

Answer 1

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Answer 2

Answer:

A=45° and B=15°

Step-by-step explanation:

Step 1:

You should know the trigonometric values of 30°,45°,60°,0° and 90° for sin and cos.

Step 2:

Now,sin 30°=1/2 and cos 60°=1/2

sin (A-B)=sin 30°

cos(A+B)=cos 60°

Step 3:

Solve linear equations:

A-B=30

A+B=60

2A=90

A=45°

B=15°