Find the principal value of cos^-1 (√3/2)

Solution:

Inverse trigonometric functions are the inverse ratio of the basic trigonometric ratios

Here the basic trigonometric function of Sin θ = y can be changed to

θ = sin^-1 y

Let,

cos^-1 (√3/2) = y

Hence,

cos y = (√3/2)

= cos (π / 6)

The range of the principal value of cos^-1 (x) is (0, π).

Thus,

the principal value of cos^-1 (√3/2)

= π / 6

---

NCERT Solutions for Class 12 Maths - Chapter 2 Exercise 2.1 Question 2

Find the principal value of cos^-1 (√3/2)

Summary:

The principal value of cos^-1 (√3/2) = π / 6. The range of the principal value of cos^-1 (x) is (0, π)