2. Trigonometric Functions on Right Triangles

In Exercises 17–24, graph two periods of the given cotangent function.y = 1/2 cot 2x

In Exercises 18–24, graph two full periods of the given tangent or cotangent function.y = −tan(x − π/4)

In Exercises 17–24, graph two periods of the given cotangent function.y = −3 cot π/2 x

In Exercises 18–24, graph two full periods of the given tangent or cotangent function.y = − 1/2 cot π/2 x

In Exercises 17–24, graph two periods of the given cotangent function.y = 3 cot(x + π/2)

In Exercises 45–52, graph two periods of each function.y = 2 tan(x − π/6) + 1

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.

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.

In Exercises 1–12, 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

In Exercises 1–12, 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

In Exercises 1–12, 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

In Exercises 1–12, 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