Prove that the following equation is an identity. 2 2 (3+ sinx) + cos x = 10 + 6 sinx

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 18E
icon
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
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
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning