Find All Solutions of the Following Equation in the Interval $3 \sin x + \csc x = 0$

question 40

Multiple Choice

Find all solutions of the following equation in the interval [0,2π) .​ $3 \sin x + \csc x = 0$ ​

• A) \(\frac { 5 \pi } { 2 } + 2 \pi , \frac { 5 \pi } { 2 } + 2 \pi\)
• B)No solution
• C)​ \(\frac { \pi } { 2 } + 2 \pi , \frac { 3 \pi } { 2 } + 2 \pi\)
• D)​ \(\frac { 3 \pi } { 2 } + 2 \pi , \frac { 3 \pi } { 2 } + 2 \pi\)
• E)​ \(\frac { 7 \pi } { 2 } + 2 \pi , \frac { 3 \pi } { 2 } + 2 \pi\)

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Definitions:

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Sperm fertilize eggs inside a female’s body.

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Specialized organs in mammals that produce milk to nourish newborn offspring.

Four Chambered Heart

A type of heart structure found in mammals and birds, consisting of two atria and two ventricles, facilitating separate circulation of oxygenated and deoxygenated blood.

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Animals with a backbone or spinal column, including mammals, birds, reptiles, amphibians, and certain fish.