Question

Which of the following ratios correctly describes the tangent function? a. opp/adj b. opp/hyp c. adj/hyp

Answer 1

A. opp/adj because the the tangent is the hypotenuse so it eliminates all equations that require the hypotenuse.

Answer 2

Answer: a.opp/adj

Step-by-step explanation:

The tangent function, along with sine and cosine, is one of the three most common trigonometric functions.

For any given angle x

$\tan\ x=\frac{\sin\ x}{\cos\ x}=\frac{\frac{\text{side opposite to x}}{\text{hypotenuse}}}{\frac{\text{side adjacent to x}}{\text{hypotenuse}}}\\\Rightarrow\tan\ x=\frac{\text{side opposite to x}}{\text{side adjacent to x}}$

thus, opp/adj  correctly describes the tangent function.