Chapter 6: Q. 73 (page 396)

Use the even–odd properties to find the exact value of each expression. Do not use a calculator.
$\csc (- \frac{π}{4})$

Short Answer

Expert verified

The exact value of trigonometry expression is $- \sqrt{2} .$

Step by step solution

Step 1. Given Information

Given that the trigonometry expression is $\csc (- \frac{π}{4}) .$ To find the exact value of trigonometry expression using even odd property.

Step 2. Even odd property

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

$\csc (- θ) = - cscθ = - \frac{1}{sinθ} = - \frac{1}{y}$

The point in which on unit circle responds the angle can be substituted.

$\csc (- \frac{π}{4}) = - \csc \frac{π}{4} = \frac{1}{- y} = \frac{1}{- \frac{\sqrt{2}}{2}} \csc (- \frac{π}{4}) = - \sqrt{2}$

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Use the even–odd properties to find the exact value of each expression. Do not use a calculator.
$\csc (- \frac{π}{4})$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Even odd property

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Use the even–odd properties to find the exact value of each expression. Do not use a calculator.csc(-π4)

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

Geometry

Theoretical and Mathematical Physics

Discrete Mathematics

Logic and Functions

Calculus

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Use the even–odd properties to find the exact value of each expression. Do not use a calculator.
$\csc (- \frac{π}{4})$