Question

Let sin(a+b) = root 3/2 and cos b = root 3/2 what is tan(2a-b)

Answer 1

Answer:

Step-by-step explanation:

sin(A+B)=1

cos(A-B)=√3/2

We know sin-¹ =90

A+B=9 _ _ _ _(1)

cos (A-B)=root 3/2

A-B=cos-¹ root 3/2

We know cos-¹ root 3/2=30

A-B=30 _ _ _ _ _ (2)

Solve (1) & (2)

A+B=90

A-B=30 add

2A=120

A=60 B=30 (Ans)

Answer 2

Answer:

A =60 and B = 30

Hope it helps