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tan 90° cot 135°

tan 90° cot 135°

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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On this section of the educational website, we will explore trigonometric functions and their values at specific angles. ### Trigonometric Functions: 1. **tan 90°** 2. **cot 135°** 3. **tan 300°** Detailed explanations: 1. **tan 90°**: The tangent of 90 degrees. - Tangent (tan) is undefined at 90°, as it approaches infinity. This is because the cosine of 90° is 0, and division by zero is not defined in mathematics. 2. **cot 135°**: The cotangent of 135 degrees. - Cotangent (cot) is the reciprocal of tangent, i.e., cot(x) = 1/tan(x). - For 135°, cot(135°) = -1. 3. **tan 300°**: The tangent of 300 degrees. - Tangent (tan) is the ratio of the sine and cosine functions. - For 300°, tan(300°) = √3/3 or -1/√3. These angles illustrate how trigonometric functions behave at different points in the unit circle. Understanding these basics can help in solving more complex trigonometric problems and applications.
Transcribed Image Text:On this section of the educational website, we will explore trigonometric functions and their values at specific angles. ### Trigonometric Functions: 1. **tan 90°** 2. **cot 135°** 3. **tan 300°** Detailed explanations: 1. **tan 90°**: The tangent of 90 degrees. - Tangent (tan) is undefined at 90°, as it approaches infinity. This is because the cosine of 90° is 0, and division by zero is not defined in mathematics. 2. **cot 135°**: The cotangent of 135 degrees. - Cotangent (cot) is the reciprocal of tangent, i.e., cot(x) = 1/tan(x). - For 135°, cot(135°) = -1. 3. **tan 300°**: The tangent of 300 degrees. - Tangent (tan) is the ratio of the sine and cosine functions. - For 300°, tan(300°) = √3/3 or -1/√3. These angles illustrate how trigonometric functions behave at different points in the unit circle. Understanding these basics can help in solving more complex trigonometric problems and applications.
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