2. Trigonometric Functions on Right Triangles

Graph one period of each function. y = 2 tan x/2

Graph two periods of the given tangent function. y = 3 tan x/4

Graph two periods of the given tangent function. y = −2 tan (1/2) x

Graph two periods of the given tangent function. y = tan(x − π/4)

The graph of a cotangent function is given. Select the equation for each graph from the following options: y = cot(x + π/2), y = cot(x + π), y = −cot x, y= −cot(x − π/2).

In Exercises 55–58, use a graph to solve each equation for -2π ≤ x ≤ 2π. tan x = -1

In Exercises 55–58, use a graph to solve each equation for -2π ≤ x ≤ 2π. csc x = 1

In Exercises 49–54, find the measure of the side of the right triangle whose length is designated by a lowercase letter. Round answers to the nearest whole number.

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In Exercises 49–54, find the measure of the side of the right triangle whose length is designated by a lowercase letter. Round answers to the nearest whole number.

In Exercises 30–32, find the measure of the side of the right triangle whose length is designated by a lowercase letter. Round answers to the nearest whole number.

Solve the right triangle shown in the figure. Round lengths to two decimal places and express angles to the nearest tenth of a degree. A = 23.5°, b = 10

Solve the right triangle shown in the figure. Round lengths to two decimal places and express angles to the nearest tenth of a degree. A = 52.6°, c = 54

Solve the right triangle shown in the figure. Round lengths to two decimal places and express angles to the nearest tenth of a degree. B = 16.8°, b = 30.5

Solve the right triangle shown in the figure. Round lengths to two decimal places and express angles to the nearest tenth of a degree. a = 30.4, c = 50.2