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

question 21

Multiple Choice

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

• 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:

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