Find the Exact Value of the Expression Using the Provided $\tan ( \mathrm { s } + \mathrm { t } )$

question 304

Multiple Choice

Find the exact value of the expression using the provided information.
-Find $\tan ( \mathrm { s } + \mathrm { t } )$ given that $\sin \mathrm { s } = \frac { 1 } { 4 }$ , with $\mathrm { s }$ in quadrant II, and $\sin \mathrm { t } = - \frac { 1 } { 2 }$ , with $\mathrm { t }$ in quadrant IV.

• A) \(\frac { 4 \sqrt { 3 } + \sqrt { 15 } } { - 11 }\)
• B) \(\frac { 1 + 3 \sqrt { 5 } } { 8 }\)
• C) \(\frac { 1 - 3 \sqrt { 5 } } { 8 }\)
• D) \(\frac { 4 \sqrt { 3 } - \sqrt { 15 } } { 11 }\)

---

Definitions:

Pie Chart

A circular graph divided into slices to illustrate numerical proportions in a dataset, where the arc length of each slice is proportional to the quantity it represents.

Outliers

Observations that are significantly different from, and lie outside the range of, most of the other data points.

Data Point

An individual value or piece of data that is collected as part of a dataset.