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Chapter 6: Q. 66 (page 396)

Use the even–odd properties to find the exact value of each expression. Do not use a calculator.
$\cos (- 270^{o})$

Short Answer

Expert verified

The exact value of the given trigonometric expression is 0.

Step by step solution

01

Step 1. Given information

Given that the trigonometric expression is $\cos (- 270^{o}) .$ To find the exact value of trigonometric equation using even odd property.

02

Step 2. Even odd property

On substituting the given expression in even odd property,

$\cos (- θ) = x = cosθ \cos (- 270^{o}) = \cos 270^{o} = x = 0$

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Most popular questions from this chapter

Convert each angle in degrees to radians. Express your answer as a multiple of $π$ .

$270 °$

Do you prefer to measure angles using degrees or radians? Provide justification and a rationale for your choice.

Use a calculator to find the approximate value of each expression rounded to two decimal places.

$\sin \frac{π}{8}$

Find the exact values of the six trigonometric functions of the given angle. If any are not defined, say "not defined." Do not use a calculator.

$\frac{13 π}{6}$

In the problem, $s$ denotes the length of the arc of a circle of radius $r$ subtended by the central angle $θ$ . Find the missing quantity. Round answers to three decimal places.

$θ = \frac{1}{3}$ radian, $s = 2$ feet , $r = ?$

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