Question

If Tan (A + B) = 3 and Sin (A - B) =

1
/2

Then find the value A and B.​

Answer 1

Answer:

⇒ We have, sinA=

2

1

∴ A=sin

−1

(

2

1

)

∴ A=45

o

-------- ( 1 )

⇒ Now, tan(A−B)=

3

1

⇒ A−B=tan

−1

(

3

1

)

∴ A−B=30

o

∴ 45

o

−B=30

o

[ From( 1 ) ]

∴ B=45

o

−30

o

∴ B=15

o