Solve the Problem $\sin \theta = - \frac { 4 } { 5 }$

question 238

Multiple Choice

Solve the problem.
-If $\sin \theta = - \frac { 4 } { 5 }$ , and $\frac { 3 \pi } { 2 } < \theta < 2 \pi$ , then find $\tan 2 \theta$ .

• A) \(\frac { 7 } { 24 }\)
• B) \(- \frac { 24 } { 7 }\)
• C) \(- \frac { 7 } { 24 }\)
• D) \(\frac { 24 } { 7 }\)

---

Definitions:

Coronary Disease

A heart condition characterized by the narrowing of the coronary arteries due to the buildup of plaque, leading to a decrease in blood flow to the heart muscle and potential heart attack.

High Blood Pressure

A medical condition where the force of the blood against artery walls is too high, often leading to health problems like heart disease.

Diabetes

A chronic health condition that affects how the body turns food into energy, involving issues with insulin production or use, leading to high blood sugar levels.

Atherosclerosis

A cardiovascular disease characterized by the buildup of fatty deposits, cholesterol, and other substances on the artery walls, leading to reduced blood flow.