# How do you evaluate tan (-30) degrees?

In trigonometry, tan θ can also be expressed as the ratio of sine θ and cos θ.

## Answer: The value of tan (-30)° is -1 / √3

Let us proceed step by step to find the value tan (-30) degrees.

**Explanation:**

Using trigonometric ratios, tan x = sin x / cos x,

On replacing x in the above expression with 30°, we get

tan 30° = sin 30° / cos 30°

= (1 / 2) / (√3 / 2) [ substituting the value of sin 30° and cos 30° ]

= 1 / √3 [Simplifying the fraction]

Since we know that (- 30°) lies in the 4th quadrant, and tan values are also negative in this quadrant.

Therefore, tan 30° = - (1 / √3).