Assume sin(0) = = 19 29 sin (0+) = sin(0 - 0) = cos(0 + 0) = cos (0 - 0) = where << π, and cos(p) = - 12 where π < < 3³ 19 2 Use the appropriate sum or difference formula to compute the following: (Hint: Pay attention to the quadrants, and be very careful with the signs.) Note: You can earn partial credit on this problem.
Assume sin(0) = = 19 29 sin (0+) = sin(0 - 0) = cos(0 + 0) = cos (0 - 0) = where << π, and cos(p) = - 12 where π < < 3³ 19 2 Use the appropriate sum or difference formula to compute the following: (Hint: Pay attention to the quadrants, and be very careful with the signs.) Note: You can earn partial credit on this problem.
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
Assume \( \sin(\theta) = \frac{19}{29} \) where \( \frac{\pi}{2} < \theta < \pi \), and \( \cos(\phi) = -\frac{19}{41} \) where \( \pi < \phi < \frac{3\pi}{2} \).
Use the appropriate sum or difference formula to compute the following:
\[
\sin(\theta + \phi) = \boxed{\hspace{3cm}}
\]
\[
\sin(\theta - \phi) = \boxed{\hspace{3cm}}
\]
\[
\cos(\theta + \phi) = \boxed{\hspace{3cm}}
\]
\[
\cos(\theta - \phi) = \boxed{\hspace{3cm}}
\]
(Hint: Pay attention to the quadrants, and be very careful with the signs.)
**Note:** You can earn partial credit on this problem.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e08cb41-5b2e-4118-8784-a24243109431%2F997a70d4-f438-4b66-8277-9c3368f101a1%2Fr63xks_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Trigonometric Identities and Formulas
Assume \( \sin(\theta) = \frac{19}{29} \) where \( \frac{\pi}{2} < \theta < \pi \), and \( \cos(\phi) = -\frac{19}{41} \) where \( \pi < \phi < \frac{3\pi}{2} \).
Use the appropriate sum or difference formula to compute the following:
\[
\sin(\theta + \phi) = \boxed{\hspace{3cm}}
\]
\[
\sin(\theta - \phi) = \boxed{\hspace{3cm}}
\]
\[
\cos(\theta + \phi) = \boxed{\hspace{3cm}}
\]
\[
\cos(\theta - \phi) = \boxed{\hspace{3cm}}
\]
(Hint: Pay attention to the quadrants, and be very careful with the signs.)
**Note:** You can earn partial credit on this problem.
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