# Find the value of tan 75 degrees?

## Answer: tan 75° = (√3 + 1) / (√3 - 1)

Let us proceed step by step.

**Explanation:**

Let us write 75 degrees as a sum of two angles 45 degrees and 30 degrees.

We have written 75 degrees as a sum of two angles so that we can use the trigonometric formula.

tan (x+y) = (tanx + tany) / (1 - tan x tan y)

On substituting the value of x as 45 degree and y as 30 degree, we get,

tan (45°+30°) = (tan45°+ tan30°) / (1-tan45° tan30°)

= {1+ (1/√3)} / {1-(1/√3)}