Q. 68 - Precalculus Enhanced with Graphing Utilities

Question

Use the even–odd properties to find the exact value of each expression. Do not use a calculator.

$\sin (-\mathrm{\pi })$

Step-by-Step Solution

Answer

The exact value of trigonometric expression is 0.

Step 1. Given Information

Given that the trigonometric expression is $\sin (-\mathrm{\pi }).$ To find the exact values of given trigonometric expression using even odd property.

Step 2. Even odd property

Sine is an odd function and it can be denoted as,

$$\begin{gathered} \sin (-\mathrm{\theta })=-\mathrm{sin\theta } \\ =-\mathrm{y} \\ \sin (-\mathrm{\pi })=-\mathrm{sin\pi } \\ =0 \end{gathered}$$