5. sin 20 1-cos 20 = cote

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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Verify that the equation is an identity

The equation shown is:

\[
\frac{\sin 2\theta}{1 - \cos 2\theta} = \cot \theta
\]

This equation involves trigonometric identities and properties:

- \(\sin 2\theta\) and \(\cos 2\theta\) are double-angle identities.
- \(\cot \theta\) is the cotangent of \(\theta\), which is equal to \(\frac{\cos \theta}{\sin \theta}\).

The equation establishes a relationship between these trigonometric expressions.

This problem likely requires the application of trigonometric identities to verify the equality or to solve for \(\theta\).
Transcribed Image Text:The equation shown is: \[ \frac{\sin 2\theta}{1 - \cos 2\theta} = \cot \theta \] This equation involves trigonometric identities and properties: - \(\sin 2\theta\) and \(\cos 2\theta\) are double-angle identities. - \(\cot \theta\) is the cotangent of \(\theta\), which is equal to \(\frac{\cos \theta}{\sin \theta}\). The equation establishes a relationship between these trigonometric expressions. This problem likely requires the application of trigonometric identities to verify the equality or to solve for \(\theta\).
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