Find the exact value of cos^-1(√3/2).

Solution:

Given, cos^-1(√3/2)

We have to find the exact value.

Since the range of the function y = arccos x is [0, π]

The value of x is positive

The angle lies in the first quadrant.

Therefore, cos^-1(√3/2) = π/6

Example:

Find the exact value of cos^-1(1/2).

Solution:

Given, cos^-1(1/2)

We have to find the exact value.

Since the range of the function y = arccos x is [0, π]

The value of x is positive

The angle lies in the first quadrant.

Therefore, cos^-1(1/2) = π/3

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Find the exact value of cos^-1(√3/2).

Summary:

The exact value of cos^-1(√3/2) is π/6.