2. Trigonometric Functions on Right Triangles

Solving Right Triangles

2. Trigonometric Functions on Right Triangles

Solving Right Triangles

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Finding Missing Angles

Finding Missing Side Lengths

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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.

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Multiple Choice

Given the right triangle below, calculate all missing angles in degrees (round your answer to 3 decimal places.

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Textbook 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).

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Textbook 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).

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Textbook Question

In Exercises 1–4, graph one period of each function. y = 2 tan x/2

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Textbook Question

In Exercises 5–12, graph two periods of the given tangent function. y = 3 tan x/4

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Textbook Question

In Exercises 5–12, graph two periods of the given tangent function. y = −2 tan 1/2 x

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Textbook Question

In Exercises 5–12, graph two periods of the given tangent function. y = tan(x − π/4)

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Textbook 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).

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Textbook Question

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

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Textbook Question

In Exercises 18–24, graph two full periods of the given tangent or cotangent function. y = −2 tan π/4 x

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Textbook Question

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

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Textbook Question

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

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Textbook Question

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

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Textbook Question

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

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Textbook Question

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

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Textbook Question

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

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Textbook Question

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

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Textbook Question

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

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2. Trigonometric Functions on Right Triangles

Solving Right Triangles

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