Use the Following Information to Express the Remaining Five Trigonometric $u$

question 24

Multiple Choice

Use the following information to express the remaining five trigonometric values as functions of $u$ . Assume that $u$ is positive. Rationalize any denominators that contain radicals. $\sin \theta = - u ^ { 2 } , 270 ^ { \circ } < \theta < 360 ^ { \circ }$

• A) \(\begin{array} { l }
• \tan \theta = - \frac { u ^ { 2 } \sqrt { 1 - u ^ { 4 } } } { 1 - u ^ { 4 } } , \quad \sec \theta = - \frac { 1 } { u ^ { 2 } } , \quad \cos \theta = \sqrt { 1 - u ^ { 4 } } , \\
• \cot \theta = - \frac { \sqrt { 1 - u ^ { 4 } } } { u ^ { 2 } } , \quad \csc \theta = - \frac { \sqrt { 1 - u ^ { 4 } } } { 1 - u ^ { 4 } } .
• \end{array}\)
• B) \(\begin{array} { l }
• \tan \theta = - \frac { u ^ { 2 } \sqrt { 1 - u ^ { 4 } } } { 1 - u ^ { 4 } } , \quad \sec \theta = - \frac { \sqrt { 1 - u ^ { 4 } } } { 1 - u ^ { 4 } } , \quad \cos \theta = \sqrt { 1 + u ^ { 4 } } , \\
• \cot \theta = - \frac { \sqrt { 1 - u ^ { 4 } } } { u ^ { 2 } } , \quad \csc \theta = - \frac { 1 } { u ^ { 2 } } .
• \end{array}\)
• C) \(\begin{array} { l }
• \tan \theta = - \frac { u ^ { 2 } \sqrt { 1 - u ^ { 4 } } } { 1 - u ^ { 4 } } , \quad \sec \theta = \frac { \sqrt { 1 - u ^ { 4 } } } { 1 - u ^ { 4 } } , \quad \cos \theta = \sqrt { 1 - u ^ { 4 } } , \\
• \cot \theta = - \frac { \sqrt { 1 - u ^ { 4 } } } { u ^ { 2 } } , \quad \csc \theta = - \frac { 1 } { u ^ { 2 } } .
• \end{array}\)
• D) \(\begin{array} { l }
• \tan \theta = \frac { u ^ { 2 } \sqrt { 1 - u ^ { 4 } } } { 1 - u ^ { 4 } } , \quad \sec \theta = \frac { \sqrt { 1 - u ^ { 4 } } } { 1 - u ^ { 4 } } , \quad \cos \theta = - \sqrt { 1 - u ^ { 4 } } , \\
• \cot \theta = \frac { \sqrt { 1 - u ^ { 4 } } } { u ^ { 2 } } , \quad \csc \theta = \frac { 1 } { u ^ { 2 } } .
• \end{array}\)
• E) \(\begin{array} { l l }
• \tan \theta = \frac { u ^ { 2 } \sqrt { 1 - u ^ { 4 } } } { 1 - u ^ { 4 } } , & \sec \theta = \frac { \sqrt { 1 - u ^ { 4 } } } { 1 - u ^ { 4 } } , \quad \cos \theta = \sqrt { 1 - u ^ { 4 } } , \\
• \cot \theta = \frac { \sqrt { 1 - u ^ { 4 } } } { u ^ { 2 } } , & \csc \theta = \frac { 1 } { u ^ { 2 } } .
• \end{array}\)

Explain the significance and calculation of earnings per share (EPS).

Describe the operating cycle and identify businesses with different operating cycle lengths.

Perform transaction analysis, including its effects on the accounting equation and cash flows.

Understand cash flow from operating activities and its calculation.

---

Definitions:

Violence

The use of physical force or power, threatened or actual, against oneself, another person, or against a group or community, that either results in or has a high likelihood of resulting in injury, death, psychological harm, maldevelopment, or deprivation.

Firefighters

Trained professionals dedicated to extinguishing fires, rescuing individuals, and preventing the spread of fires, often involved in medical aid and disaster response.

Bankers

Professionals involved in the banking industry, dealing with the management of financial institutions, transactions, and the provision of financial services.

Volatile Substance

A substance that easily evaporates at normal temperatures and pressures, often creating potential hazards such as flammability or health risks when inhaled.