2. Trigonometric Functions on Right Triangles

Solving Right Triangles

Open Question
In Exercises 17–24, graph two periods of the given cotangent function.y = 2 cot x
Multiple Choice
A right triangle with an angle of $31°$ has a hypotenuse of $10$ . Calculate the side of the triangle opposite to the $31°$ angle (y), and the side adjacent to the $31°$ angle (x). Round your answer to 3 decimal places.
Multiple Choice
Given the right triangle below, calculate all missing angles in degrees (round your answer to 3 decimal places.
Open Question
In Exercises 1–4, the graph of a tangent function is given. Select the equation for each graph from the following options:y = tan(x + π/2), y = tan(x + π), y = −tan(x − π/2).
Open Question
In Exercises 1–4, the graph of a tangent function is given. Select the equation for each graph from the following options:y = tan(x + π/2), y = tan(x + π), y = −tan(x − π/2).
Open Question
In Exercises 1–4, graph one period of each function.y = 2 tan x/2
Open Question
In Exercises 5–12, graph two periods of the given tangent function.y = 3 tan x/4
Open Question
In Exercises 5–12, graph two periods of the given tangent function.y = −2 tan 1/2 x
Open Question
In Exercises 5–12, graph two periods of the given tangent function.y = tan(x − π/4)
Open Question
In Exercises 13–16, 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).
Open Question
In Exercises 18–24, graph two full periods of the given tangent or cotangent function.y = −2 tan π/4 x
Open Question
In Exercises 17–24, graph two periods of the given cotangent function.y = 1/2 cot 2x
Open Question
In Exercises 18–24, graph two full periods of the given tangent or cotangent function.y = −tan(x − π/4)
Open Question
In Exercises 17–24, graph two periods of the given cotangent function.y = −3 cot π/2 x
Open Question
In Exercises 18–24, graph two full periods of the given tangent or cotangent function.y = − 1/2 cot π/2 x