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tan 45º cos 180° sin -30°

tan 45º cos 180° sin -30°

Trigonometry (11th Edition)
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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Transcription of the provided image for an educational website: --- ### Trigonometric Functions Here are the trigonometric function evaluations for specific angles. **tan 45°** The tangent of 45 degrees. **cos 180°** The cosine of 180 degrees. **sin -30°** The sine of -30 degrees. --- For educational purposes, each of these trigonometric functions can be evaluated numerically: - **tan 45° = 1** - **cos 180° = -1** - **sin -30° = -1/2** These values are derived from the unit circle and basic trigonometric principles. The tangent of 45 degrees is the ratio of the opposite side to the adjacent side in a right triangle, which both are equal, yielding a value of 1. The cosine of 180 degrees, which corresponds to the x-coordinate of the point where the terminal side of the angle intersects the unit circle, is -1. The sine of -30 degrees, representing the y-coordinate of the terminal side of the angle on the unit circle, is -1/2.
Transcribed Image Text:Transcription of the provided image for an educational website: --- ### Trigonometric Functions Here are the trigonometric function evaluations for specific angles. **tan 45°** The tangent of 45 degrees. **cos 180°** The cosine of 180 degrees. **sin -30°** The sine of -30 degrees. --- For educational purposes, each of these trigonometric functions can be evaluated numerically: - **tan 45° = 1** - **cos 180° = -1** - **sin -30° = -1/2** These values are derived from the unit circle and basic trigonometric principles. The tangent of 45 degrees is the ratio of the opposite side to the adjacent side in a right triangle, which both are equal, yielding a value of 1. The cosine of 180 degrees, which corresponds to the x-coordinate of the point where the terminal side of the angle intersects the unit circle, is -1. The sine of -30 degrees, representing the y-coordinate of the terminal side of the angle on the unit circle, is -1/2.
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