Chapter 6: Q. 61 (page 396)

Use the even–odd properties to find the exact value of each expression. Do not use a calculator.
$\tan (- 30^{o})$

Short Answer

Expert verified

The exact value of trigonometric expression is $- \frac{\sqrt{3}}{3} .$

Step by step solution

Step 1. Given Information

Given that the trigonometric expression is $\tan (- 30^{o})$ . To find the exact value of trigonometric expression using even odd property.

Step 2. Even odd property

According to the property of even odd, the function is $\tan (- θ) = - tanθ .$ On substituting the value,

$\tan (- 30^{o}) = - \tan 30^{o} \tan 30^{o} = \frac{\sqrt{3}}{3} - \tan 30^{o} = - \frac{\sqrt{3}}{3} \tan (- 30^{o}) = - \frac{\sqrt{3}}{3}$

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Use the even–odd properties to find the exact value of each expression. Do not use a calculator.
$\tan (- 30^{o})$

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.tan(-30o)

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

Logic and Functions

Decision Maths

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Study anywhere. Anytime. Across all devices.

Use the even–odd properties to find the exact value of each expression. Do not use a calculator.
$\tan (- 30^{o})$