Question

 If sin(A + B ) = 1 and tan A = √3, where A and B are acute angles, then B is equal to​

Answer 1

Step-by-step explanation:

tanA= root3

tan60= tan root3

A= 60

In a right angled triangle ABC

Angle C= 90, A= 60

So sum of angles in a right angle triangle = 180

90+60+c= 180

150+c= 180

180-150= B

30= B

sin(A+B)= sin(60+30)

sin(90)= 1, B= 30

Hence proved

Hope this helps you

Answer 2

Step-by-step explanation:

given tan A = √3

tan A = tan 60°

A = 60

and sin(A+B) = 1

sin(A+B) = sin 90°

A+B =90

60+B=90

B=90-60

B=30