Solve the Equation for Solutions in the Interval [0, 2 $$[ 0,2 \pi )$$

question 46

Multiple Choice

Solve the equation for solutions in the interval [0, 2 $$[ 0,2 \pi )$$
- $\sin 2 x + \sin x = 0$

• A) \(\left\{ \frac { \pi } { 8 } , \frac { 9 \pi } { 8 } \right\}\)
• B) \(\left\{ \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 } \right\}\)
• C) \(\left\{ 0 , \frac { 2 \pi } { 3 } , \pi , \frac { 4 \pi } { 3 } \right\}\)
• D) \(\varnothing\)

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Definitions:

Amoebozoans

A group of eukaryotic organisms, mostly comprising amoebas, that move and feed by means of pseudopodia, which are temporary projections of cytoplasm.

Plasmodial Slime Molds

A group of protists that form a large, single-celled, multinucleate mass during part of their life cycle.

Cellular Slime Molds

Organisms that live as single cells during one phase of their life cycle but can aggregate to form multicellular reproductive structures when food is scarce.

Belt-like Flagellum

A specialized type of flagellum that encircles a cell, typically found in certain protozoan organisms, aiding in locomotion or feeding.