Solve the Following Equation $$3 \csc ^ { 2 } ( x ) - 4 = 0$$

question 36

Multiple Choice

Solve the following equation.
$$3 \csc ^ { 2 } ( x ) - 4 = 0$$

• A) \(\frac { \pi } { 6 } + \pi n , \frac { 5 \pi } { 6 } + \pi n\), where \(n\) is an integer
• B) \(\frac { \pi } { 6 } + 2 \pi n , \frac { 5 \pi } { 6 } + 2 \pi n\), where \(n\) is an integer
• C) \(\frac { \pi } { 3 } + \pi n , \frac { 2 \pi } { 3 } + \pi n\), where \(n\) is an integer
• D) \(\frac { \pi } { 3 } + 2 \pi n , \frac { 5 \pi } { 6 } + 2 \pi n\), where \(n\) is an integer
• E) \(\frac { \pi } { 3 } + 2 \pi n , \frac { 2 \pi } { 3 } + 2 \pi n\), where \(n\) is an integer

---

Definitions:

Concurring Opinion

An additional written opinion by a judge who agrees with the decision of the court but for different reasons than those expressed in the majority opinion.

Majority Opinion

The judicial opinion agreed to by more than half of the members of a court, setting out the decision of the court and an explanation of the rationale behind the court's decision.

Dissenting Opinion

A judicial expression of disagreement with the court’s majority decision, highlighting alternate legal perspectives or interpretations.

Types of Opinions

Refers to the various classifications of judgments or viewpoints expressed by individuals, often categorized based on subject matter, such as legal, professional, or personal opinions.