Chapter 6: Q. 72 (page 396)

Use the even–odd properties to find the exact value of each expression. Do not use a calculator.
$\sin (- \frac{3 π}{2})$

Short Answer

Expert verified

The exact value for the given expression is -1.

Step by step solution

Step 1. Given Information

Given that the trigonometry expression is $\sin (- \frac{3 π}{2}) .$ To find the exact value of trigonometry expression using even odd function.

Step 2. Even odd property

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

$\sin (- θ) = - sinθ = - y \sin (- \frac{3 π}{2}) = - \sin \frac{3 π}{2} = - y \sin (- \frac{3 π}{2}) = - 1$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Use the even–odd properties to find the exact value of each expression. Do not use a calculator.
$\sin (- \frac{3 π}{2})$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Even odd property

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Discrete Mathematics

Probability and Statistics

Logic and Functions

Statistics

Study anywhere. Anytime. Across all devices.

Use the even–odd properties to find the exact value of each expression. Do not use a calculator.sin-3π2

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Even odd property

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Discrete Mathematics

Probability and Statistics

Logic and Functions

Statistics

Study anywhere. Anytime. Across all devices.

Use the even–odd properties to find the exact value of each expression. Do not use a calculator.
$\sin (- \frac{3 π}{2})$