Solve the Equation on the Interval [0, 2π) $\sin 4 x = \frac { \sqrt { 3 } } { 2 }$

question 96

Multiple Choice

Solve the equation on the interval [0, 2π) .
- $\sin 4 x = \frac { \sqrt { 3 } } { 2 }$

• A) \(\frac { \pi } { 12 } , \frac { \pi } { 6 } , \frac { 2 \pi } { 3 } , \frac { 7 \pi } { 12 } , \frac { 7 \pi } { 6 } , \frac { 13 \pi } { 12 } , \frac { 5 \pi } { 3 } , \frac { 19 \pi } { 12 }\)
• B) \(\frac { \pi } { 4 } , \frac { 5 \pi } { 4 }\)
• C) \(0 , \frac { \pi } { 4 } , \pi\)
• D) 0

---

Definitions:

Syllogisms

A form of deductive reasoning where a conclusion is drawn from two given or assumed propositions (premises).

Telegraphic Speech

Speech in which words not critical to the message are left out.

Non-Critical Words

Words in a language that do not carry the core meaning of a sentence but are necessary for grammatical completeness.

Overextension

In language acquisition, overextension is children's use of words in a broader context than adults would, applying specific words to a wider variety of objects or situations.