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

question 44

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 = $\frac { \sqrt { 2 } } { 2 }$

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

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Definitions:

Revealed Preference

A theory that determines consumer's preferences by observing their purchasing habits and behaviors instead of their preferences being explicitly stated.

Revealed Preference

A theory that assumes individuals' preferences can be determined by their purchasing habits.

Weak Axiom

A principle in consumer choice theory stating that if a consumer prefers bundle A over bundle B when both are available at the same prices, then the consumer will not purchase more of bundle B if its price rises.

Revealed Preference

An economic theory stating that the preferences of consumers can be understood by their purchasing habits.