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°.
Related questions
Question
![**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7f80e2b9-2cfd-4c3a-b29d-7104fd1276e9%2F171b8e02-0b92-45b9-83c5-ac50a19527d2%2F7zy84t9_processed.png&w=3840&q=75)
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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