Become a Trigonometry & Precalculus Master

About Course

Learn trigonometry and precalculus from the comfort of your own home with this comprehensive course. Get access to over 300 lessons covering everything from angles and their measure to conic sections and parametric curves. The course includes 89 quizzes and 10 workbooks to help you test your understanding and practice your skills. This course is completely free and is available on Theetay. This course is from Udemy, Udacity, Coursera, MasterClass, NearPeer, and other platforms. This course covers:

Angles and their measure, including degrees, DMS, and radians
Angles in circles, including oriented arcs, circular sectors, and linear and angular velocity
The six circular functions, which are sine, cosine, tangent, cosecant, secant, and tangent
The laws of sine and cosine, including Heron’s formula
The unit circle, and how to use it to complete a triangle
Graphing the trig functions using period and amplitude, horizontal and vertical shifts, and other transformations
Trig identities like even-odd, sum-difference, double-angle, half-angle, product-to-sum, and sum-to-product
Inverse trig functions and their graphs
Polar coordinates and graphing polar curves
Complex numbers, including polar forms and De Moivre’s Theorem
Matrices for solving systems, Gauss-Jordan elimination, transformations and inverse matrices
Partial fractions, distinct and repeated, linear and quadratic factors
Conic sections and analytic geometry of circles, ellipses, parabolas, and hyperbolas
Parametric curves and how to sketch their graphs

This course includes:

Videos with step-by-step explanations of every math problem
Notes that summarize the key concepts
Quizzes to test your understanding
Workbooks with extra practice problems

This is a great course for students who are struggling with trigonometry and precalculus, or for those who want to refresh their knowledge. Enroll today and start your journey to mastering these important topics!

Angles and their measure, including degrees, DMS and radians
Six circular functions, including sine, cosine, tangent, cosecant, secant, and cotangent
The unit circle, including finding sine and cosine, and how to complete a triangle
Angles in circles, including oriented arcs, circular sectors, and linear and angular velocity
Graphing the trig functions, including sine and cosine graphs, and transformations
Inverse trig functions, including their graphs
Trig identities, including even-odd, sum-difference, half-angle, double-angle, product-to-sum, and sum-to-product identities
The law of sines and the law of cosines, including Heron's formula
Polar curves, including converting coordinates and graphing polar curves
Complex numbers, including polar forms and De Moivre's theorem
Matrices, including solving systems, Gauss-Jordan elimination, and transformations and inverses
Partial fractions, including fraction decomposition for all factor types
Conic sections and analytic geometry, including rotating conics and polar equations of conics
Parametric curves, including finding the direction of the parameter and the parametric representation

Course Content

01 – Getting started

001 – Hi START HERE Course overview.mp4

00:00
A Message from the Professor
002 – Download the formula sheets.html

00:00
003 – The EVERYTHING download.html

00:00

02 – Angles

004 – Introduction to angles.mp4

00:00
005 – RESOURCE Quiz solutions for this section.html

00:00
006 – Naming angles.html

00:00
007 – Naming angles.mp4

00:00
008 – Complementary and supplementary angles.html

00:00
009 – Complementary and supplementary angles.mp4

00:00
010 – Positive and negative angles.html

00:00
011 – Positive and negative angles.mp4

00:00
012 – Quadrant of the angle.html

00:00
013 – Quadrant of the angle.mp4

00:00
014 – Degrees radians and DMS.html

00:00
015 – Degrees radians and DMS.mp4

00:00
016 – Coterminal angles.html

00:00
017 – Coterminal angles.mp4

00:00
018 – BONUS Extra practice problems.html

00:00
Section Quiz

03 – The six trig functions

019 – Introduction to the six trig functions.mp4

00:00
020 – RESOURCE Quiz solutions for this section.html

00:00
021 – Sine cosine and tangent.html

00:00
022 – Sine cosine and tangent.mp4

00:00
023 – Cosecant secant cotangent and the reciprocal identities.html

00:00
024 – Cosecant secant cotangent and the reciprocal identities.mp4

00:00
025 – The quotient identities.html

00:00
026 – The quotient identities.mp4

00:00
027 – The Pythagorean identities.html

00:00
028 – The Pythagorean identities.mp4

00:00
029 – Signs by quadrant.html

00:00
030 – Signs by quadrant.mp4

00:00
031 – When the trig functions are undefined.html

00:00
032 – When the trig functions are undefined.mp4

00:00
033 – BONUS Extra practice problems.html

00:00
Section Quiz

04 – The unit circle

034 – Introduction to the unit circle.mp4

00:00
035 – RESOURCE Quiz solutions for this section.html

00:00
036 – The unit circle.html

00:00
037 – The unit circle.mp4

00:00
038 – Negative angles and angles more than one rotation.html

00:00
039 – Negative angles and angles more than one rotation.mp4

00:00
040 – Coterminal angles in a particular interval.html

00:00
041 – Coterminal angles in a particular interval.mp4

00:00
042 – Reference angles.html

00:00
043 – Reference angles.mp4

00:00
044 – Symmetry across axes.html

00:00
045 – Symmetry across axes.mp4

00:00
046 – Evenodd identities.html

00:00
047 – Evenodd identities.mp4

00:00
048 – The set of all possible angles.html

00:00
049 – The set of all possible angles.mp4

00:00
050 – Points not on the unit circle.html

00:00
051 – Points not on the unit circle.mp4

00:00
052 – Solving right triangles.html

00:00
053 – Solving right triangles.mp4

00:00
054 – Angles of elevation and depression.html

00:00
055 – Angles of elevation and depression.mp4

00:00
056 – BONUS Extra practice problems.html

00:00
Section Quiz

05 – Angles in circles

057 – Introduction to angles in circles.mp4

00:00
058 – RESOURCE Quiz solutions for this section.html

00:00
059 – Radians and arc length.html

00:00
060 – Radians and arc length.mp4

00:00
061 – Area of a circular sector.html

00:00
062 – Area of a circular sector.mp4

00:00
063 – Trig functions of real numbers.html

00:00
064 – Trig functions of real numbers.mp4

00:00
065 – Linear and angular velocity.html

00:00
066 – Linear and angular velocity.mp4

00:00
067 – Relating linear and angular velocity.html

00:00
068 – Relating linear and angular velocity.mp4

00:00
069 – BONUS Extra practice problems.html

00:00
Section Quiz

06 – Graphing trig functions

070 – Introduction to graphing trig functions.mp4

00:00
071 – RESOURCE Quiz solutions for this section.html

00:00
072 – Sketching sine and cosine.html

00:00
073 – Sketching sine and cosine.mp4

00:00
075 – Sketching cosecant and secant.mp4

00:00
076 – Period and amplitude.html

00:00
077 – Period and amplitude.mp4

00:00
078 – Sketching tangent and cotangent.html

00:00
079 – Sketching tangent and cotangent.mp4

00:00
080 – Horizontal and vertical shifts.html

00:00
081 – Horizontal and vertical shifts.mp4

00:00
082 – Graphing transformations.html

00:00
083 – Graphing transformations.mp4

00:00
084 – Graphing combinations.html

00:00
085 – Graphing combinations.mp4

00:00
086 – BONUS Extra practice problems.html

00:00
Section Quiz

07 – Inverse trig functions

087 – Introduction to inverse trig functions.mp4

00:00
088 – RESOURCE Quiz solutions for this section.html

00:00
089 – Inverse trig relations.html

00:00
090 – Inverse trig relations.mp4

00:00
091 – Inverse trig functions.html

00:00
092 – Inverse trig functions.mp4

00:00
093 – Trig functions of inverse trig functions.html

00:00
094 – Trig functions of inverse trig functions.mp4

00:00
095 – BONUS Extra practice problems.html

00:00
Section Quiz

08 – Trig identities

096 – Introduction to trig identities.mp4

00:00
097 – RESOURCE Quiz solutions for this section.html

00:00
098 – Sumdifference identities for sine and cosine.html

00:00
099 – Sumdifference identities for sine and cosine.mp4

00:00
100 – Cofunction identities.html

00:00
101 – Cofunction identities.mp4

00:00
102 – Sumdifference identities for tangent.html

00:00
103 – Sumdifference identities for tangent.mp4

00:00
104 – Doubleangle identities.html

00:00
105 – Doubleangle identities.mp4

00:00
106 – Halfangle identities.html

00:00
107 – Halfangle identities.mp4

00:00
108 – Producttosum identities.html

00:00
109 – Producttosum identities.mp4

00:00
110 – Sumtoproduct identities.html

00:00
111 – Sumtoproduct identities.mp4

00:00
112 – Proving the trig equation.html

00:00
113 – Proving the trig equation.mp4

00:00
114 – Complete solution set of the equation.html

00:00
115 – Complete solution set of the equation.mp4

00:00
116 – BONUS Extra practice problems.html

00:00
Section Quiz

09 – The law of sines and law of cosines

117 – Introduction to the law of sines and law of cosines.mp4

00:00
118 – RESOURCE Quiz solutions for this section.html

00:00
119 – Law of sines.html

00:00
120 – Law of sines.mp4

00:00
121 – The ambiguous case of the law of sines.html

00:00
122 – The ambiguous case of the law of sines.mp4

00:00
123 – Area from the law of sines.html

00:00
123 – Area from the law of sines.html

00:00
124 – Area from the law of sines.mp4

00:00
125 – Law of cosines.html

00:00
126 – Law of cosines.mp4

00:00
127 – Herons formula.html

00:00
128 – Herons formula.mp4

00:00
129 – BONUS Extra practice problems.html

00:00
Section Quiz

10 – Final exam

11 – Polar curves

133 – Introduction to polar curves.mp4

00:00
134 – RESOURCE Quiz solutions for this section.html

00:00
135 – Polar coordinates.html

00:00
136 – Polar coordinates.mp4

00:00
137 – Multiple ways to express polar points.html

00:00
138 – Multiple ways to express polar points.mp4

00:00
139 – Converting equations.html

00:00
140 – Converting equations.mp4

00:00
141 – Graphing polar curves in a rectangular system.html

00:00
142 – Graphing polar curves in a rectangular system.mp4

00:00
143 – Graphing circles.html

00:00
144 – Graphing circles.mp4

00:00
145 – Graphing roses.html

00:00
146 – Graphing roses.mp4

00:00
147 – Graphing cardioids.html

00:00
148 – Graphing cardioids.mp4

00:00
149 – Graphing limaçons.html

00:00
150 – Graphing limaçons.mp4

00:00
151 – Graphing lemniscates.html

00:00
152 – Graphing lemniscates.mp4

00:00
153 – Intersection of polar curves.html

00:00
154 – Intersection of polar curves.mp4

00:00
155 – BONUS Extra practice problems.html

00:00

12 – Complex numbers

156 – Introduction to complex numbers.mp4

00:00
157 – RESOURCE Quiz solutions for this section.html

00:00
158 – Complex numbers.html

00:00
159 – Complex numbers.mp4

00:00
160 – Complex number operations.html

00:00
161 – Complex number operations.mp4

00:00
162 – Graphing complex numbers.html

00:00
163 – Graphing complex numbers.mp4

00:00
164 – Distances and midpoints.html

00:00
165 – Distances and midpoints.mp4

00:00
166 – Complex numbers in polar form.html

00:00
167 – Complex numbers in polar form.mp4

00:00
168 – Multiplying and dividing polar forms.html

00:00
169 – Multiplying and dividing polar forms.mp4

00:00
170 – Powers of complex numbers and De Moivres Theorem.html

00:00
171 – Powers of complex numbers and De Moivres Theorem.mp4

00:00
172 – Complex number equations.html

00:00
173 – Complex number equations.mp4

00:00
174 – Roots of complex numbers.html

00:00
175 – Roots of complex numbers.mp4

00:00
176 – BONUS Extra practice problems.html

00:00
Section Quiz

13 – Matrices

177 – Introduction to matrices.mp4

00:00
178 – RESOURCE Quiz solutions for this section.html

00:00
179 – Matrix dimensions and entries.html

00:00
180 – Matrix dimensions and entries.mp4

00:00
181 – Representing systems with matrices.html

00:00
182 – Representing systems with matrices.mp4

00:00
183 – Simple row operations.html

00:00
184 – Simple row operations.mp4

00:00
185 – GaussJordan elimination and reduced rowechelon form.html

00:00
186 – GaussJordan elimination and reduced rowechelon form.mp4

00:00
187 – Matrix addition and subtraction.html

00:00
188 – Matrix addition and subtraction.mp4

00:00
189 – Scalar multiplication and zero matrices.html

00:00
190 – Scalar multiplication and zero matrices.mp4

00:00
191 – Matrix multiplication.html

00:00
192 – Matrix multiplication.mp4

00:00
193 – Identity matrices.html

00:00
194 – Identity matrices.mp4

00:00
195 – Transformations.html

00:00
196 – Transformations.mp4

00:00
197 – Matrix inverses and invertible and singular matrices.html

00:00
198 – Matrix inverses and invertible and singular matrices.mp4

00:00
199 – Solving systems with inverse matrices.html

00:00
200 – Solving systems with inverse matrices.mp4

00:00
201 – Solving systems with Cramers Rule.html

00:00
202 – Solving systems with Cramers Rule.mp4

00:00
203 – BONUS Extra practice problems.html

00:00
Section Quiz

14 – Partial fractions

204 – Introduction to partial fractions.mp4

00:00
205 – RESOURCE Quiz solutions for this section.html

00:00
206 – Fraction decomposition.html

00:00
207 – Fraction decomposition.mp4

00:00
208 – Distinct linear factors.html

00:00
209 – Distinct linear factors.mp4

00:00
210 – Repeated linear factors.html

00:00
211 – Repeated linear factors.mp4

00:00
212 – Distinct quadratic factors.html

00:00
213 – Distinct quadratic factors.mp4

00:00
214 – Repeated quadratic factors.html

00:00
215 – Repeated quadratic factors.mp4

00:00
216 – Mixed factors.html

00:00
217 – Mixed factors.mp4

00:00
218 – BONUS Extra practice problems.html

00:00
Section Quiz

15 – Conic sections and analytic geometry

219 – Introduction to conic sections and analytic geometry.mp4

00:00
220 – RESOURCE Quiz solutions for this section.html

00:00
221 – Identifying conic sections.html

00:00
222 – Identifying conic sections.mp4

00:00
223 – Circles.html

00:00
224 – Circles.mp4

00:00
225 – Ellipses.html

00:00
226 – Ellipses.mp4

00:00
227 – Parabolas.html

00:00
228 – Parabolas.mp4

00:00
229 – Hyperbolas.html

00:00
230 – Hyperbolas.mp4

00:00
231 – Rotating axes.html

00:00
232 – Rotating axes.mp4

00:00
233 – Polar equations of conics.html

00:00
234 – Polar equations of conics.mp4

00:00
235 – BONUS Extra practice problems.html

00:00
Section Quiz

16 – Parametric curves

236 – Introduction to parametric curves.mp4

00:00
237 – RESOURCE Quiz solutions for this section.html

00:00
238 – Parametric curves and eliminating the parameter.html

00:00
239 – Parametric curves and eliminating the parameter.mp4

00:00
240 – Direction of the parameter.html

00:00
241 – Direction of the parameter.mp4

00:00
242 – Finding the parametric representation.html

00:00
243 – Finding the parametric representation.mp4

00:00
244 – BONUS Extra practice problems.html

00:00
Section Quiz

17 – Final exam and wrapup

Add this certificate to your resume to demonstrate your skills & increase your chances of getting noticed.

Student Ratings & Reviews

No Review Yet

About Course

What Will You Learn?

Course Content

01 – Getting started

001 – Hi START HERE Course overview.mp4

A Message from the Professor

002 – Download the formula sheets.html

003 – The EVERYTHING download.html

02 – Angles

004 – Introduction to angles.mp4

005 – RESOURCE Quiz solutions for this section.html

006 – Naming angles.html

007 – Naming angles.mp4

008 – Complementary and supplementary angles.html

009 – Complementary and supplementary angles.mp4

010 – Positive and negative angles.html

011 – Positive and negative angles.mp4

012 – Quadrant of the angle.html

013 – Quadrant of the angle.mp4

014 – Degrees radians and DMS.html

015 – Degrees radians and DMS.mp4

016 – Coterminal angles.html

017 – Coterminal angles.mp4

018 – BONUS Extra practice problems.html

Section Quiz

03 – The six trig functions

019 – Introduction to the six trig functions.mp4

020 – RESOURCE Quiz solutions for this section.html

021 – Sine cosine and tangent.html

022 – Sine cosine and tangent.mp4

023 – Cosecant secant cotangent and the reciprocal identities.html

024 – Cosecant secant cotangent and the reciprocal identities.mp4

025 – The quotient identities.html

026 – The quotient identities.mp4

027 – The Pythagorean identities.html

028 – The Pythagorean identities.mp4

029 – Signs by quadrant.html

030 – Signs by quadrant.mp4

031 – When the trig functions are undefined.html

032 – When the trig functions are undefined.mp4

033 – BONUS Extra practice problems.html

Section Quiz

04 – The unit circle

034 – Introduction to the unit circle.mp4

035 – RESOURCE Quiz solutions for this section.html

036 – The unit circle.html

037 – The unit circle.mp4

038 – Negative angles and angles more than one rotation.html

039 – Negative angles and angles more than one rotation.mp4

040 – Coterminal angles in a particular interval.html

041 – Coterminal angles in a particular interval.mp4

042 – Reference angles.html

043 – Reference angles.mp4

044 – Symmetry across axes.html

045 – Symmetry across axes.mp4

046 – Evenodd identities.html

047 – Evenodd identities.mp4

048 – The set of all possible angles.html

049 – The set of all possible angles.mp4

050 – Points not on the unit circle.html

051 – Points not on the unit circle.mp4

052 – Solving right triangles.html

053 – Solving right triangles.mp4

054 – Angles of elevation and depression.html

055 – Angles of elevation and depression.mp4

056 – BONUS Extra practice problems.html

Section Quiz

05 – Angles in circles

057 – Introduction to angles in circles.mp4

058 – RESOURCE Quiz solutions for this section.html

059 – Radians and arc length.html

060 – Radians and arc length.mp4

061 – Area of a circular sector.html

062 – Area of a circular sector.mp4

063 – Trig functions of real numbers.html

064 – Trig functions of real numbers.mp4

065 – Linear and angular velocity.html

066 – Linear and angular velocity.mp4

067 – Relating linear and angular velocity.html

068 – Relating linear and angular velocity.mp4