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0. Review of College Algebra(0)

Rationalizing Denominators
(0)

Pythagorean Theorem & Basics of Triangles
(0)

Basics of Graphing
(0)

Functions
(0)

Transformations
(0)

Asymptotes
(0)

Solving Linear Equations
(0)

Solving Quadratic Equations
(0)

Complex Numbers
(0)

1. Measuring Angles(0)

Angles in Standard Position
(0)

Coterminal Angles
(0)

Complementary and Supplementary Angles
(0)

Radians
(0)

2. Trigonometric Functions on Right Triangles(0)

Trigonometric Functions on Right Triangles
(0)

Special Right Triangles
(0)

Cofunctions of Complementary Angles
(0)

Solving Right Triangles
(0)

3. Unit Circle(0)

Defining the Unit Circle
(0)

Trigonometric Functions on the Unit Circle
(0)

Common Values of Sine, Cosine, & Tangent
(0)

Reference Angles
(0)

Reciprocal Trigonometric Functions on the Unit Circle
(0)

4. Graphing Trigonometric Functions(0)

Graphs of the Sine and Cosine Functions
(0)

Phase Shifts
(0)

Graphs of Secant and Cosecant Functions
(0)

Graphs of Tangent and Cotangent Functions
(0)

5. Inverse Trigonometric Functions and Basic Trigonometric Equations(0)

Inverse Sine, Cosine, & Tangent
(0)

Evaluate Composite Trig Functions
(0)

Linear Trigonometric Equations
(0)

6. Trigonometric Identities and More Equations(0)

Introduction to Trigonometric Identities
(0)

Sum and Difference Identities
(0)

Double Angle Identities
(0)

Solving Trigonometric Equations Using Identities
(0)

7. Non-Right Triangles(0)

Law of Sines
(0)

Law of Cosines
(0)

Area of SAS & ASA Triangles
(0)

8. Vectors(0)

Geometric Vectors
(0)

Vectors in Component Form
(0)

Direction of a Vector
(0)

Unit Vectors and i & j Notation
(0)

Dot Product
(0)

Cross Product
(0)

9. Polar Equations(0)

Polar Coordinate System
(0)

Convert Points Between Polar and Rectangular Coordinates
(0)

Convert Equations Between Polar and Rectangular Forms
(0)

Graphing Other Common Polar Equations
(0)

10. Parametric Equations(0)

Graphing Parametric Equations
(0)

Eliminate the Parameter
(0)

Writing Parametric Equations
(0)

11. Graphing Complex Numbers(0)

Graphing Complex Numbers
(0)

Polar Form of Complex Numbers
(0)

Products and Quotients of Complex Numbers
(0)

Powers of Complex Numbers (DeMoivre's Theorem)
(0)

2. Trigonometric Functions on Right Triangles

Solving Right Triangles

2. Trigonometric Functions on Right Triangles

Solving Right Triangles: Videos & Practice Problems

Video Lessons Practice Worksheet

Solving Right Triangles Practice Problems

53 problems

Problem 1Multiple Choice

Draw the graph of two periods of the function given below.

y = 2tan x/6

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Problem 2Multiple Choice

Draw the graph of two periods of the function given below.

y = −4 tan (1/3)x

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Problem 3Multiple Choice

Draw the graph of two periods of the function given below.

y = tan(x − π/6)

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Problem 4Multiple Choice

Draw the graph of two periods of the function given below.

y = 4 cot x

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Problem 5Multiple Choice

Draw the graph of two periods of the function given below.

y = (1/3) cot 3x

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Problem 6Multiple Choice

Draw the graph of two periods of the function given below.

y = -4 cot (π/3)x

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Problem 7Multiple Choice

Draw the graph of two periods of the function given below.

y = 5 cot(x + π/6)

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Problem 8Multiple Choice

Solve the given equation with the help of its graph in the interval [- 2π, 2π] below.

tan x = (-√3)/3

Graph of tan(x) with points indicating solutions in the interval [-2π, 2π].

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Problem 9Multiple Choice

Solve the given equation with the help of its graph in the interval [- 2π, 2π] below.

csc x = 2

Graph of csc x = 2 with marked points in the interval [-2π, 2π].

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Problem 10Multiple Choice

Draw the graph of two periods of the function given below.

y = -3 tan (π/6)x

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Problem 11Multiple Choice

Draw the graph of two periods of the function given below.

y = -tan(x - π/3)

Problem 12Multiple Choice

Draw the graph of two periods of the function given below.

y = (-1/4) cot (π/3)x

Problem 13Multiple Choice

Find the equation of the graph given below.

Graph showing cotangent functions with vertical asymptotes and intercepts for solving right triangles.

Problem 14Multiple Choice

Find the equation of the graph given below.

Graph of tangent functions with vertical asymptotes and key points marked.

Problem 15Multiple Choice

Find the equation of the graph given below.

Graph of y = tan(x + π/4) and y = -tan(x - π/4) with vertical asymptotes.

Problem 16Multiple Choice

Draw the graph of the function for one period.

y = 5 tan(x/3)

Problem 17Multiple Choice

Find the length of the side opposite to the angle 21° and round the answer to the nearest integer.

Problem 18Multiple Choice

Find the length of the side opposite to the angle 39° and round the answer to the nearest integer.

Right triangle with angle 39° and side lengths 51 m, asking for the opposite side length.

Problem 19Multiple Choice

Find the length of the side opposite to the angle 48° and round the answer to the nearest integer.

Problem 20Multiple Choice

Find the solution for the right triangle in the given figure, expressing angles to the nearest tenth of a degree and rounding lengths to two decimal places.

Diagram of a right triangle labeled with angles Q, P, and sides p, q, r for solving right triangles.

P = 13.6°, q = 12

Problem 21Multiple Choice

Find the solution for the right triangle in the given figure, expressing angles to the nearest tenth of a degree and rounding lengths to two decimal places.

P = 55.7°, r = 73

Diagram of a right triangle labeled with angles P, Q and sides p, q, r for solving trigonometric functions.

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Problem 22Multiple Choice

Find the solution for the right angle in the given figure, expressing angles to the nearest tenth of a degree and rounding lengths to two decimal places.

Diagram of a right triangle labeled with angles Q, P, and sides p, q, r for solving right triangles.

Q = 7.3°, q = 9.7

Problem 23Multiple Choice

Find the solution for the right angle triangle in the given figure, expressing angles to the nearest tenth of a degree and rounding lengths to two decimal places.

Right triangle labeled with sides p, q, r and angles P, Q for solving trigonometric functions.

p = 15.7, r = 29.3

Problem 24Multiple Choice

Find the solution for the right angle in the given figure, expressing angles to the nearest tenth of a degree and rounding lengths to two decimal places.

Diagram of a right triangle labeled with sides p, q, r and angles P, Q for solving right triangles.

p = 8.7, q = 80.1

Problem 25Multiple Choice

Find the solution for the right triangle in the given figure, expressing angles to the nearest tenth of a degree and rounding lengths to two decimal places.

Right triangle labeled with sides q, r, p and angles P, Q for solving trigonometric functions.

q = 9, r = 21

Problem 26Multiple Choice

Determine the value of x rounded to the nearest integer.

Right triangle with angles 35° and 16°, side 600 units, and x to be determined.

Problem 27Multiple Choice

Determine the value of x rounded to the nearest integer.

Right triangle diagram showing angle measures and side lengths for solving for x.

Problem 28Multiple Choice

Determine the value of x rounded to the nearest integer.

Right triangle with angles 37° and 72°, height 800 units, and base x to solve for.

Problem 29Multiple Choice

Determine the value of x rounded to the nearest integer.

Right triangle with angles 22° and 54°, base 200 units, height x to be determined.

Problem 30Multiple Choice

Find the missing side lengths and angles of the right triangle shown. Express the lengths in two decimal places and angles in one decimal place.

M = 34.2°, n = 14

Right triangle labeled with sides m, n, o and angles M = 34.2°, O = 52.8° for solving.

Cofunctions of Complementary Angles Practice Problems Defining the Unit Circle Practice Problems

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