Question

sin ( a+ b) =1 and cos (A-B) =1 find the value A and B

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Answer 1

Answer:

1. A:- 45°
2. B:- 45°

Explanation:

→Sin(A+B) =1

→Sin(A+B)=Sin90°

→A+B=90° ----(1)

→Cos(A-B)=1

→Cos(A-B)=Cos0°

→A-B=0° ----(2)

Now, (1)+ (2) => A+B+A-B = 90°+0°

=> 2A = 90°

=>A=45°

Now, solving equation (1),we get-

=>A+B =90°

=>B= 90°- 45°

=>B=45°