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91Ó°ÊÓ

Find the exact value of each expression.

sin-1(-32)

Short Answer

Expert verified

The exact value is -Ï€3.

Step by step solution

01

Step 1. Given information

We have been given an expression sin-1(-32).

We have to find its exact value.

02

Step 2. Find the value using unit circle.

We can write:

sin-1(-32)=x;-π2≤x≤π2

So,

role="math" localid="1647670115500" sinx=-32

The range of function is [-Ï€2,Ï€2].

Using the unit circle,

sin-1(-32)=-Ï€3

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