5. Expand: sin (P+ ) cos (P) coS (P) 2 4 cos (P) 1 V3 cos (P) sin (P) + 1 V3 cos (P) - 3 sin (P) +V 3 cos (P) sin (P) 1 V3 sin (P) sin (P) V3 cos (P)
5. Expand: sin (P+ ) cos (P) coS (P) 2 4 cos (P) 1 V3 cos (P) sin (P) + 1 V3 cos (P) - 3 sin (P) +V 3 cos (P) sin (P) 1 V3 sin (P) sin (P) V3 cos (P)
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
How to expand this?
![### Problem 5: Expand \(\sin(P + \frac{\pi}{3})\)
Choose the correct expansion from the options below:
- **Option A:**
\[
\frac{\cos(P)}{2} + \frac{\cos(P)}{4}
\]
- **Option B:**
\[
\frac{\cos(P)}{2} + \frac{1}{2} \sqrt{3} \cos(P)
\]
- **Option C:**
\[
\sin(P) + \frac{1}{2} \sqrt{3} \cos(P)
\]
- **Option D:**
\[
\frac{3 \sin(P)}{2} + \sqrt{3} \cos(P)
\]
- **Option E:**
\[
\frac{\sin(P)}{2} + \frac{1}{2} \sqrt{3} \sin(P)
\]
- **Option F:**
\[
\frac{\sin(P)}{2} + \frac{1}{2} \sqrt{3} \cos(P)
\]
Each option provides a different trigonometric expansion. Choose the one that correctly represents the expansion of \(\sin(P + \frac{\pi}{3})\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1873a4f6-1f37-4827-b860-8ba7ef49eb43%2F8e3c2007-6b8d-4d28-87db-70a39853dfa5%2F96usobea_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem 5: Expand \(\sin(P + \frac{\pi}{3})\)
Choose the correct expansion from the options below:
- **Option A:**
\[
\frac{\cos(P)}{2} + \frac{\cos(P)}{4}
\]
- **Option B:**
\[
\frac{\cos(P)}{2} + \frac{1}{2} \sqrt{3} \cos(P)
\]
- **Option C:**
\[
\sin(P) + \frac{1}{2} \sqrt{3} \cos(P)
\]
- **Option D:**
\[
\frac{3 \sin(P)}{2} + \sqrt{3} \cos(P)
\]
- **Option E:**
\[
\frac{\sin(P)}{2} + \frac{1}{2} \sqrt{3} \sin(P)
\]
- **Option F:**
\[
\frac{\sin(P)}{2} + \frac{1}{2} \sqrt{3} \cos(P)
\]
Each option provides a different trigonometric expansion. Choose the one that correctly represents the expansion of \(\sin(P + \frac{\pi}{3})\).
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