Question

If tan 53° = 4/3, then, what is the value of tan8°?

1. 1/6
2. 1/8
3. 1/7
4. 1/5

Answer 1

Correct Answer - Option 3 : 1/7

Given:

tan 53° = 4/3

Formula Used:

tan(x – y) = (tanx – tany)/(1 + tanxtany)

Calculation:

We know, 8° = 53° - 45°

Tan8° = tan(53° - 45°)

⇒ tan8° = (tan53° - tan45°)/(1 + tan53° tan45°)

⇒ tan8° = (4/3 – 1)/(1 + 4/3)

⇒ tan8° = (1/3)/(7/3)

⇒ tan8° = 1/7