Question

if 2sin(2A+B)=1 and tan(A-B)=√3 find A and B​

Answer 1

Answer:

see dear,

2sin(2A+B)=1    OR,  sin(2A+B)=1/2  OR, using angles, 2A+B=30° ---- 1

and,

tan(A-B)=√3  OR, using angles, A-B=60° -----2

adding 1 and 2,

3A=90 or, A=30°  now putting A=30 in eqn.1 we get B= -30

Step-by-step explanation: