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

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=(\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.