Find All Solutions of the Given Equation in the Interval $[ 0,2 \pi )$

question 65

Multiple Choice

Find all solutions of the given equation in the interval $[ 0,2 \pi )$
$\cos \frac { x } { 2 } - \sin x = 0$

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

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Definitions:

Section 402A

Part of the Restatement (Second) of Torts, imposing strict liability on manufacturers for defective products that cause harm.

Liability Exists

A condition where legal responsibility for damages or obligations is present and enforceable by law.

Without Substantial Change

This entails maintaining the primary essence or core of something while possibly making minimal adjustments that do not significantly alter its nature or function.

Negligence

A failure to behave with the level of care that someone of ordinary prudence would have exercised under the same circumstances, resulting in harm or damage.