Question

SU U TOJ
26Find measure of the angles A and B, if Sin(A-B)=1/2 and Cos(A+B) =1/2​

Answer 1

Answer:

sin (A-B) = 1/2

sin (A-B) = sin 30°

A-B = 30° --------------------( 1 )

cos (A+B) = 1/2

cos (A+B) = cos 60°

A+B = 60° --------------------(2)

Adding - (1) & (2)

A-B = 30°

A+B = 60°

2A = 90°

A = 45°

Put value of A in equation ---(1)

A-B = 30°

45°- B = 30°

-B = 30° - 45°

-B = -15°

B = 15°

So, A= 45° & B = 15°

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