Chapter 7: Q. 15 (page 450)

In Problems 13–24, find the exact value of each expression.
sin^-1 (- 1)

Short Answer

Expert verified

The exact value of sin^-1 (- 1) is $- \frac{π}{2}$ .

Step by step solution

Step 1. Given Information:

Given expression: sin^-1 (- 1)

We want to find the exact value of given expression.

Step 2. Solution:

The given expression can be rewritten as:

$\sin^{- 1} (- 1) = y; - \frac{π}{2} \leq y \leq \frac{π}{2}$

Hence we get sin (y) = - 1

Since we have sin^-1 function initially, the bounds on the sin function are going to be in the interval localid="1647536843358" $[- \frac{π}{2}, \frac{π}{2}]$ which represents the range of sin^-1 function.

Using the unit circle, we know that in order to get (- 1), y must be equal to $- \frac{π}{2}$ .

Hence, we getlocalid="1647536511185" $s i n^{- 1} (- 1) = - \frac{π}{2}$

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In Problems 13–24, find the exact value of each expression.
sin^-1 (- 1)

Short Answer

Step by step solution

Step 1. Given Information:

Step 2. Solution:

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In Problems 13–24, find the exact value of each expression.sin-1 (- 1)

Short Answer

Step by step solution

Step 1. Given Information:

Step 2. Solution:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Decision Maths

Probability and Statistics

Calculus

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Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In Problems 13–24, find the exact value of each expression.
sin^-1 (- 1)