If tan (A + B) = √3 and tan A = 1, then tan (A - B) is equal to

• Quant Trigo

If tan (A + B) = √3 and tan A = 1, then tan (A - B) is equal to

1. 0
2. 1
3. 1/√3
4. √2

Solution

Since tan A =1 , A = 45 degrees

Also, tan 60 = √3

So, A + B = 60

⇨ B = 60 - 45 = 15 degrees

Therefore, A - B = 45 - 15 = 30 degrees

So, tan (A - B) = tan 30 = 1/√3

The correct option is C.