Question

use the figure below to find the exact value of the trigonometric function of angle a. tan(a)
how is tan(a) defined in terms of a right triangles legs with respect to angle a?
resources
ebook
introduction to
trigonometric functions
finding trig functions
using a right triangle
example video
determine six trig
functions from a triangle

Explanation:

Step1: Recall tangent - function definition

In a right - triangle, for an acute angle \(A\), \(\tan(A)=\frac{\text{opposite}}{\text{adjacent}}\).

Step2: Identify opposite and adjacent sides

For angle \(A\) in the given right - triangle, the side opposite to angle \(A\) has length \(11\) and the side adjacent to angle \(A\) has length \(4\).

Step3: Calculate \(\tan(A)\)

\(\tan(A)=\frac{11}{4}\)

Answer:

\(\frac{11}{4}\)