Math Problem Statement

Select one or more expressions that together represent all solutions to the equation. Your answer should be in radians. Assume [n] is any integer.

[9\sin(18x)+11=2]

Choose all answers that apply:

Choose all answers that apply:

(Choice A)   

[-\dfrac{\pi}{2}+n\cdot2\pi]

A

[-\dfrac{\pi}{2}+n\cdot2\pi]

(Choice B)   

[-\dfrac{\pi}{36}+n\cdot\dfrac{\pi}{9}]

B

[-\dfrac{\pi}{36}+n\cdot\dfrac{\pi}{9}]

(Choice C)   

[n\cdot\pi]

C

[n\cdot\pi]

(Choice D)   

[\dfrac{\pi}{36}+n\cdot\dfrac{\pi}{9}]

D

[\dfrac{\pi}{36}+n\cdot\dfrac{\pi}{9}]

(Choice E)   

[\dfrac{\pi}{2}+n\cdot\dfrac{\pi}{11}]

E

[\dfrac{\pi}{2}+n\cdot\dfrac{\pi}{11}]

(Choice F)   

[\dfrac{\pi}{2}+n\cdot\pi]

F

[\dfrac{\pi}{2}+n\cdot\pi]

Solution

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Periodicity of Trigonometric Functions
Solving Trigonometric Equations

Formulas

General solution for sin(theta) = -1

Theorems

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Suitable Grade Level

Advanced High School