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Ray Vickson

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In your problem, ##\theta = 3x## runs from ##\theta = 0## to ##\theta = 3 \pi.## Look at a plot of ##y = \sin \theta## for ##0 \leq \theta \leq 3 \pi.## How many places are there at which ##\sin \theta = 1/2## or ##\theta = -1/2?#### Homework Statement

View attachment 229661

## Homework Equations

## The Attempt at a Solution

2sin3x=1 OR 2sin3x= -1

sin3x=1/2 sin3x= -1/2

From the unit circle and in accordance with the domain

there are 3 solutions (B)

But the answer is (C)

HOW?

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