6. Use the triangle to find sin(23), cos(23), sin(), cos() 25 24

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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**Trigonometric Identities and Formulas**

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### Problems:

**6. Use the triangle to find \(\sin(2β)\), \(\cos(2β)\), \(\sin( \frac{π}{2})\), \(\cos( \frac{π}{2})\)**

**Diagram:**
- Right triangle with sides 24, 25, and hypotenuse 25.
- Angles are denoted as \( α \) and \( β \).

**Explanation of Diagram:**
- In the given right triangle, the side opposite angle \( β \) is 24 units long.
- The side adjacent to angle \( β \) is 7 units long.
- The hypotenuse, opposite angle \( α \), is 25 units long.

**7. Write the exact answer for \(\cos( \frac{π}{3}) \sin ( \frac{π}{4})\)**

**8. Write the exact answer for \(\cos( \frac{5π}{12}) + \cos ( \frac{7π}{12})\)**

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For more detailed solutions and explanations, please refer to your trigonometric identity and formula guides or textbooks.
Transcribed Image Text:**Trigonometric Identities and Formulas** --- ### Problems: **6. Use the triangle to find \(\sin(2β)\), \(\cos(2β)\), \(\sin( \frac{π}{2})\), \(\cos( \frac{π}{2})\)** **Diagram:** - Right triangle with sides 24, 25, and hypotenuse 25. - Angles are denoted as \( α \) and \( β \). **Explanation of Diagram:** - In the given right triangle, the side opposite angle \( β \) is 24 units long. - The side adjacent to angle \( β \) is 7 units long. - The hypotenuse, opposite angle \( α \), is 25 units long. **7. Write the exact answer for \(\cos( \frac{π}{3}) \sin ( \frac{π}{4})\)** **8. Write the exact answer for \(\cos( \frac{5π}{12}) + \cos ( \frac{7π}{12})\)** --- For more detailed solutions and explanations, please refer to your trigonometric identity and formula guides or textbooks.
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