Use Inverse Functions Where Needed to Find All Solutions of the Equation

question 142

Multiple Choice

Use inverse functions where needed to find all solutions of the equation in the interval [0,2 $\pi$ ) . $\csc ^ { 2 } x - 7 \csc x = 0$

• A) \(\arcsin \left( - \frac { 1 } { 7 } \right) + \pi , \arcsin \left( - \frac { 1 } { 7 } \right)\)
• B) \(\arcsin \left( - \frac { 1 } { 7 } \right) + \pi , \arcsin \left( \frac { 1 } { 7 } \right)\)
• C) \(\arcsin \left( - \frac { 1 } { 7 } \right) + \pi , \arcsin \left( \frac { 1 } { 7 } \right) + 2 \pi\)
• D) \(\arcsin \left( - \frac { 1 } { 7 } \right) + 2 \pi , \arcsin \left( \frac { 1 } { 7 } \right)\)
• E) \(\arcsin \left( \frac { 1 } { 7 } \right) + \pi , \arcsin \left( \frac { 1 } { 7 } \right)\)

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Definitions:

Incus

A small anvil-shaped bone in the middle ear that helps transmit sound vibrations from the outer ear to the inner ear.

Chronic Serous

Refers to a prolonged fluid-producing (serous) inflammation or effusion, often seen in certain medical conditions.

Otitis Media

An infection or inflammation of the middle ear.

Equilibrium

A state of physical balance or a condition in which all competing forces or influences are balanced in a biological system or physical body.