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In Problems 13–24, find the exact value of each expression.

cos-1 (- 1)

Short Answer

Expert verified

The exact value of cos-1 (- 1) isπ.

Step by step solution

01

Step 1. Given Information: 

Given expression: cos-1 (- 1)

We want to find the exact value of given expression.

02

Step 2. Solution: 

The given expression can be rewritten as:

cos-1(-1)=x;0≤x≤π

Hence we get cos (x) = - 1

Since we have cos-1 function initially, the bounds on the cos function are going to be in the interval [0,Ï€] which represents the range of cos-1 function.

Using the unit circle, we know that in order to get (- 1), x must be equal to π.

Hence, we get cos-1(-1)=Ï€

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