Find Two Values of Q That Satisfy the Equation Below $( 0 \leq \theta \leq 2 \pi )$

question 2

Multiple Choice

Find two values of q that satisfy the equation below. Give values of q in radians $( 0 \leq \theta \leq 2 \pi )$ . Do not use a calculator. sin q = $- \frac { \sqrt { 3 } } { 2 }$

• A) \(\theta = \frac { \pi } { 3 },\) \(\theta = \frac { 5 \pi } { 3 }\)
• B) \(\theta = \frac { \pi } { 3 },\) \(\theta = \pi\)
• C) \(\theta = \frac { 4 \pi } { 3 }\) , \(\theta = \frac { 5 \pi } { 3 }\)
• D) \(\theta = \frac { \pi } { 6 },\) \(\theta = \frac { 7 \pi } { 6 }\)
• E) \(\theta = \frac { \pi } { 3 }\), \(\theta = \frac { 5 \pi } { 3 }\)

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Definitions:

Random Assignment

The use of random selection to assign research participants to experimental groups.

Control Group

In experimental research, a group that does not receive the experimental treatment and is used as a benchmark to measure the effects of the treatment.

Basic Experimental Design

The fundamental structure of an experiment that outlines how to systematically test a hypothesis by manipulating variables and controlling conditions.

Randomly Assigning

The process of distributing subjects into groups in a way that each subject has an equal chance of being in any group.