Use the given information to find the exact value of the expression. tan a = 12 3 a lies in quadrant II, and cos B= - B lies in quadrant II. Find sin (a+ B). 63 O A. 65 33 O B. 65 56 O C. 65 16 65
Use the given information to find the exact value of the expression. tan a = 12 3 a lies in quadrant II, and cos B= - B lies in quadrant II. Find sin (a+ B). 63 O A. 65 33 O B. 65 56 O C. 65 16 65
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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![**Problem Statement:**
Use the given information to find the exact value of the expression.
\[ \tan \alpha = \frac{5}{12}, \; \alpha \; \text{lies in quadrant III, and} \; \cos \beta = -\frac{3}{5}, \; \beta \; \text{lies in quadrant II. Find} \; \sin (\alpha + \beta). \]
---
**Options:**
A. \(\frac{63}{65}\)
B. \(-\frac{33}{65}\)
C. \(\frac{56}{65}\)
D. \(\frac{16}{65}\)
---
Note: The problem presents information about the trigonometric function values for angles \(\alpha \) and \(\beta\) located in specified quadrants, and asks for the sine of their sum. The options provided are exact fractions representing the potential answers.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad727bdc-baba-4947-a2e3-e934fc451c32%2F84600832-da80-4012-bea1-fd2611b8186d%2F3ltxsa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Use the given information to find the exact value of the expression.
\[ \tan \alpha = \frac{5}{12}, \; \alpha \; \text{lies in quadrant III, and} \; \cos \beta = -\frac{3}{5}, \; \beta \; \text{lies in quadrant II. Find} \; \sin (\alpha + \beta). \]
---
**Options:**
A. \(\frac{63}{65}\)
B. \(-\frac{33}{65}\)
C. \(\frac{56}{65}\)
D. \(\frac{16}{65}\)
---
Note: The problem presents information about the trigonometric function values for angles \(\alpha \) and \(\beta\) located in specified quadrants, and asks for the sine of their sum. The options provided are exact fractions representing the potential answers.
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