tan(r + 0) + 0)

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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The expression depicted in the image is "tan(π + θ)".

This is a trigonometric identity related to the tangent function. The tangent of the sum of π and an angle θ is expressed as:

tan(π + θ) = tan(θ)

This identity is useful in trigonometry, particularly in simplifying expressions involving angles that are shifted by π (180 degrees), as it indicates that the tangent function has a period of π.
Transcribed Image Text:The expression depicted in the image is "tan(π + θ)". This is a trigonometric identity related to the tangent function. The tangent of the sum of π and an angle θ is expressed as: tan(π + θ) = tan(θ) This identity is useful in trigonometry, particularly in simplifying expressions involving angles that are shifted by π (180 degrees), as it indicates that the tangent function has a period of π.
**Problem #10**

**Task:** Write the expression as a single function of \( \theta \).

**Expression:**

\[
\text{tan}\left(\theta - \frac{7\pi}{4}\right)
\]

**Explanation:** This trigonometric expression involves the tangent function with an angle subtraction. The goal is to simplify it using trigonometric identities.
Transcribed Image Text:**Problem #10** **Task:** Write the expression as a single function of \( \theta \). **Expression:** \[ \text{tan}\left(\theta - \frac{7\pi}{4}\right) \] **Explanation:** This trigonometric expression involves the tangent function with an angle subtraction. The goal is to simplify it using trigonometric identities.
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