Solve the Multi-Angle Equation Below $$\sin ( 2 x ) = - \frac { \sqrt { 2 } } { 2 }$$

question 80

Multiple Choice

Solve the multi-angle equation below.
$$\sin ( 2 x ) = - \frac { \sqrt { 2 } } { 2 }$$

• A) \(\frac { 5 \pi } { 3 } + n \pi , \frac { 7 \pi } { 3 } + n \pi\), where \(n\) is an integer
• B) \(\frac { 5 \pi } { 8 } + n \pi , \frac { 7 \pi } { 3 } + n \pi\), where \(n\) is an integer
• C) \(\frac { 5 \pi } { 8 } + 2 n \pi , \frac { 7 \pi } { 8 } + 2 n \pi\), where \(n\) is an integer
• D) \(\frac { 5 \pi } { 3 } + 2 n \pi , \frac { 7 \pi } { 3 } + 2 n \pi\), where \(n\) is an integer
• E) \(\frac { 5 \pi } { 8 } + n \pi , \frac { 7 \pi } { 8 } + n \pi\), where \(n\) is an integer

---

Definitions:

Technological Conditions

Refers to the current state and advancements of technology within a specific field or the broader environment, influencing business operations and strategies.

Scientific Advancements

The progress achieved in scientific research, leading to new discoveries, innovations, and applications.

Business Model Innovations

Innovations that result in ways for firms to make money.

Natural Environment Conditions

The physical, biological, and chemical factors that influence an organization's operations, such as climate, natural resources, and ecological concerns.