Prove that the following equation is an identity. 2 2 (3+ sinx) + cos x = 10 + 6 sinx
Prove that the following equation is an identity. 2 2 (3+ sinx) + cos x = 10 + 6 sinx
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
![Prove that the following equation is an identity.
(3 + sin x)² + cos²x = 10 + 6 sinx
Choose the correct answer below.
2
2
O A. (3+ sin x)² + cos²x = 9+3 sin x + sin ²x + cos²x = 9+6 sinx-1= 10 + 6 sinx
2
2
O B. (3+ sin x)² + cos²x = 9+6 sinx+ sin ²x + cos²x = 9+6 sinx + 1 = 10 + 6 sinx
O C.
(3+ sin x)² + cos²x = 9+3 sinx+ sin ²x + cos²x = 9+6 sinx + 1 = 10 + 6 sinx
O D. (3+
sin x)²
2
2
+ cos²x = 9+6 sin x + sin x + cos
s²x = 9+6 sinx-1= 10 + 6 sinx](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2c0ab83b-f0ee-42a8-ae12-58396f46c55e%2F21ce7686-bf17-4eae-8c76-f94a5046ae7e%2Fsa8u7r_processed.png&w=3840&q=75)
Transcribed Image Text:Prove that the following equation is an identity.
(3 + sin x)² + cos²x = 10 + 6 sinx
Choose the correct answer below.
2
2
O A. (3+ sin x)² + cos²x = 9+3 sin x + sin ²x + cos²x = 9+6 sinx-1= 10 + 6 sinx
2
2
O B. (3+ sin x)² + cos²x = 9+6 sinx+ sin ²x + cos²x = 9+6 sinx + 1 = 10 + 6 sinx
O C.
(3+ sin x)² + cos²x = 9+3 sinx+ sin ²x + cos²x = 9+6 sinx + 1 = 10 + 6 sinx
O D. (3+
sin x)²
2
2
+ cos²x = 9+6 sin x + sin x + cos
s²x = 9+6 sinx-1= 10 + 6 sinx
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