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

question 3

Multiple Choice

Use inverse functions where needed to find all solutions of the equation in the interval [0,2π) .​ $\sec ^ { 2 } x - 6 \sec x = 0$ ​

• A) \(\arccos \left( \frac { 1 } { 6 } \right) , 2 \pi + \arccos \left( \frac { 1 } { 6 } \right)\)
• B)​ \(\arccos \left( \frac { 1 } { 6 } \right) , \arccos \left( \frac { 1 } { 6 } \right) - 2 \pi\)
• C)​ \(\arccos \left( \frac { 1 } { 6 } \right) + \pi , \arccos \left( \frac { 1 } { 6 } \right) - \pi\)
• D)​ \(\arccos \left( \frac { 1 } { 6 } \right) , 2 \pi - \arccos \left( \frac { 1 } { 6 } \right)\)
• E)​ \(\arccos \left( \frac { 1 } { 6 } \right) + 2 \pi , \arccos \left( \frac { 1 } { 6 } \right) - 2 \pi\)

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Definitions:

Monthly Payments

Regular payments made once a month, typically used in contexts such as loans, mortgages, and subscription services.

Compounded Annually

The calculation of interest on both the initial principal and the accumulated interest from previous periods on a yearly basis.

Yearly Contributions

The total amount of money added to a fund or investment over the course of a year.

Rate of Interest

The percentage of a sum of money charged for its use, often expressed annually.