sin 300⁰ cos 270⁰ cos 30° tan 225⁰

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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**Algebra 2B: Trigonometric Functions**

1. \(\sin 300^\circ\)
2. \(\cos 30^\circ\)
3. \(\cos 270^\circ\)
4. \(\tan 225^\circ\)

This image presents four different trigonometric functions evaluated at specific angles.

The sine, cosine, and tangent functions are fundamental in trigonometry. Here is a brief explanation of each of these functions:

- **Sine (sin)** is a function that gives the ratio of the opposite side to the hypotenuse in a right-angled triangle.
- **Cosine (cos)** is a function that gives the ratio of the adjacent side to the hypotenuse in a right-angled triangle.
- **Tangent (tan)** is a function that gives the ratio of the opposite side to the adjacent side in a right-angled triangle.

To determine the values of these trigonometric functions at given angles, it is often useful to refer to the unit circle or trigonometric tables. For example:

- \(\sin 300^\circ = -\frac{\sqrt{3}}{2}\)
- \(\cos 30^\circ = \frac{\sqrt{3}}{2}\)
- \(\cos 270^\circ = 0\)
- \(\tan 225^\circ = 1\)

Knowing these values helps in various applications of trigonometry in both theoretical and practical problems.
Transcribed Image Text:**Algebra 2B: Trigonometric Functions** 1. \(\sin 300^\circ\) 2. \(\cos 30^\circ\) 3. \(\cos 270^\circ\) 4. \(\tan 225^\circ\) This image presents four different trigonometric functions evaluated at specific angles. The sine, cosine, and tangent functions are fundamental in trigonometry. Here is a brief explanation of each of these functions: - **Sine (sin)** is a function that gives the ratio of the opposite side to the hypotenuse in a right-angled triangle. - **Cosine (cos)** is a function that gives the ratio of the adjacent side to the hypotenuse in a right-angled triangle. - **Tangent (tan)** is a function that gives the ratio of the opposite side to the adjacent side in a right-angled triangle. To determine the values of these trigonometric functions at given angles, it is often useful to refer to the unit circle or trigonometric tables. For example: - \(\sin 300^\circ = -\frac{\sqrt{3}}{2}\) - \(\cos 30^\circ = \frac{\sqrt{3}}{2}\) - \(\cos 270^\circ = 0\) - \(\tan 225^\circ = 1\) Knowing these values helps in various applications of trigonometry in both theoretical and practical problems.
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