Find the values of the trigonometric functions in Exercises 6 to 10:
8. tan 19 π / 3 

Solution:

It can be written as

tan 19 π / 3 = tan [ 3 (2π) + π / 3 ]

We know that the values of tan x (any trigonometric function) repeat after an interval of 360° or 2π.

⇒ tan 19 π / 3 = tan π / 3

⇒ tan 19 π / 3 = tan 60 °

⇒ tan 19 π / 3 = √ 3 (Using trigonometric table)

NCERT Solutions Class 11 Maths Chapter 3 Exercise 3.2 Question 8

Find the values of the trigonometric functions in Exercises 6 to 10.  8) tan 19 π / 3 

Summary:

The value of tan 19π/3 = √3. We know that the values of tan x (any trigonometric function) repeat after an interval of 360° or 2π.