Question

if sin ( A+B) = 1/2 and cos (A+B)=1/2, then angle A=​

Answer 1

Answer:

sin(A+B) = 1/2

sin 30° = 1/2

A+B = 30°

cos (A+B) = 1/2

cos 60° = 1/2

A+B = 60°

A+B = 30°

A+B = 60°

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2(A+B) = 90°

A+B = 45°

Answer 2

Question

if sin ( A-B) = 1/2 and cos (A+B)=1/2, then angle A=

Solution

sin (A - B) = 1/2 and cos (A + B) = 1/2

sin (A - B) = sin 30° and cos (A + B) = cos 60°

A - B = 30° and A + B = 60°

A - B = 30°

A + B = 60°

____________

2A = 90°

____________

A = 90°/2

A = 45°