Question

If sin(A+B) = cos (A-B)=√3/2 ;A is greater than B and A and B are acute angles.find the values of A and B??? Please answer its urgent!!

Answer 1

Answer:

sin(A+B)=cos(A-B)=√3/2

∴, sin(A+B)=√3/2

or, sin(A+B)=sin60°

or, A+B=60° --------------(1)

cos(A-B)=√3/2

or, cos(A-B)=cos30°

or, A-B=30° ---------------(2)

Adding (1) and (2) we get,

2A=90°

or, A=45°

Putting in (1) we get,  

45°+B=60°

or, B=15°

∴, A=45°, B=15°

Step-by-step explanation: