Use the Fundamental Identities to Find the Value of the Trigonometric

question 41

Multiple Choice

Use the fundamental identities to find the value of the trigonometric function.
-Find $\sin \theta$ if $\cos \theta = \frac { 5 } { 6 }$ and $\theta$ is in quadrant IV.

• A) \(\frac { 5 \sqrt { 29 } } { 29 }\)
• B) \(\frac { \sqrt { 33 } } { 4 }\)
• C) \(\frac { 4 } { 5 }\)
• D) \(- \frac { \sqrt { 11 } } { 6 }\)

---

Definitions:

Fissure Eruption

A volcanic eruption through a crack or fissure in the earth's surface, often producing long linear volcanoes.

Valles Caldera

A large volcanic caldera located in the Jemez Mountains of northern New Mexico, known for its hot springs and geothermal activity.

Volcanic Domes

Rounded, steep-sided mounds formed by the slow eruption of viscous lava from a volcano.

Volcanic Necks

The solidified remains of magma within a volcanic vent, often exposed after the surrounding rock has eroded away.