Chapter 6: Q. 67 (page 396)

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

Short Answer

Expert verified

The exact value of given expression is $- 1 .$

Step by step solution

Step 1. Given Information

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

Step 2. Even odd property substitution

Tangent is the odd function and it can be denoted using even odd function as,

$\tan (- θ) = - tanθ = \frac{- sinθ}{cosθ} \tan (- \frac{π}{4}) = - \tan \frac{π}{4} = \frac{- \sin \frac{π}{4}}{\cos \frac{π}{4}} = \frac{\frac{- \sqrt{2}}{2}}{\frac{\sqrt{2}}{2}} \tan (- \frac{π}{4}) = - 1$

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

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Even odd property substitution

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

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Even odd property substitution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Decision Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Statistics

Calculus

Study anywhere. Anytime. Across all devices.

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