Solve the Multi-Angle Equation Below $$\sin ( 2 x ) = \frac { \sqrt { 3 } } { 2 }$$

question 4

Multiple Choice

Solve the multi-angle equation below.
$$\sin ( 2 x ) = \frac { \sqrt { 3 } } { 2 }$$

• A) \(\frac { \pi } { 8 } + n \pi , \frac { \pi } { 4 } + n \pi\), where \(n\) is an integer
• B) \(\frac { \pi } { 6 } + n \pi , \frac { \pi } { 4 } + n \pi\), where \(n\) is an integer
• C) \(\frac { \pi } { 6 } + 2 n \pi , \frac { \pi } { 3 } + 2 n \pi\), where \(n\) is an integer
• D) \(\frac { \pi } { 8 } + 2 n \pi , \frac { \pi } { 4 } + 2 n \pi\), where \(n\) is an integer
• E) \(\frac { \pi } { 6 } + n \pi , \frac { \pi } { 3 } + n \pi\), where \(n\) is an integer

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Definitions:

Neutrons

Subatomic particles found in the nucleus of an atom, carrying no electric charge.

Thylakoid Membrane

A membrane-bound compartment inside chloroplasts and cyanobacteria, essential for the light-dependent reactions of photosynthesis.

ATP

An essential nucleotide that serves as the main energy source for many cellular processes, functioning in energy transfer within cells.

Electrons

Subatomic particles with a negative charge, present in all atoms and acting as the primary carrier of electricity in solids.