Become a Trigonometry & Precalculus Master
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Getting Started
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AnglesIntroduction to angles0sNaming anglesNaming angles0sNaming anglesComplementary and supplementary anglesComplementary and supplementary angles0sComplementary and supplementary anglesPositive and negative anglesPositive and negative angles0sPositive and negative anglesQuadrant of the angleQuadrant of the angle0sQuadrant of the angleDegrees, radians, and DMSDegrees, radians, and DMS0sDegrees, radians, and DMSCoterminal anglesCoterminal angles0sCoterminal angles
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The six trig functionsIntroduction to the six trig functions0sSine, cosine, and tangentSine, cosine, and tangent0sSine, cosine, and tangentCosecant, secant, cotangent, and the reciprocal identitiesCosecant, secant, cotangent, and the reciprocal identities0sCosecant, secant, cotangent, and the reciprocal identitiesThe quotient identitiesThe quotient identities0sThe quotient identitiesThe Pythagorean identitiesThe Pythagorean identities0sThe Pythagorean identitiesSigns by quadrantSigns by quadrant0sSigns by quadrantWhen the trig functions are undefinedWhen the trig functions are undefined0sWhen the trig functions are undefined
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The unit circleIntroduction to the unit circle0sThe unit circleThe unit circle0sThe unit circleNegative angles and angles more than one rotationNegative angles and angles more than one rotation0sNegative angles and angles more than one rotationCoterminal angles in a particular intervalCoterminal angles in a particular interval0sCoterminal angles in a particular intervalReference anglesReference angles0sReference anglesSymmetry across axesSymmetry across axes0sSymmetry across axesEven-odd identitiesEven-odd identities0sEven-odd identitiesThe set of all possible anglesThe set of all possible angles0sThe set of all possible anglesPoints not on the unit circlePoints not on the unit circle0sPoints not on the unit circleSolving right trianglesSolving right triangles0sSolving right trianglesAngles of elevation and depressionAngles of elevation and depression0sAngles of elevation and depression
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Angles in circlesIntroduction to angles in circles0sRadians and arc lengthRadians and arc length0sRadians and arc lengthArea of a circular sectorArea of a circular sector0sArea of a circular sectorTrig functions of real numbersTrig functions of real numbers0sTrig functions of real numbersLinear and angular velocityLinear and angular velocity0sLinear and angular velocityRelating linear and angular velocityRelating linear and angular velocity0sRelating linear and angular velocity
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Graphing trig functionsIntroduction to graphing trig functions0sSketching sine and cosineSketching sine and cosine0sSketching sine and cosineSketching cosecant and secantSketching cosecant and secant0sSketching cosecant and secantPeriod and amplitudePeriod and amplitude0sPeriod and amplitudeSketching tangent and cotangentSketching tangent and cotangent0sSketching tangent and cotangentHorizontal and vertical shiftsHorizontal and vertical shifts0sHorizontal and vertical shiftsGraphing transformationsGraphing transformations0sGraphing transformationsGraphing combinationsGraphing combinations0sGraphing combinations
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Inverse trig functionsIntroduction to inverse trig functions0sInverse trig relationsInverse trig relations0sInverse trig relationsInverse trig functionsInverse trig functions0sInverse trig functionsTrig functions of inverse trig functionsTrig functions of inverse trig functions0sTrig functions of inverse trig functions
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Trig identitiesIntroduction to trig identities0sSum-difference identities for sine and cosineSum-difference identities for sine and cosine0sSum-difference identities for sine and cosineCofunction identitiesCofunction identities0sCofunction identitiesSum-difference identities for tangentSum-difference identities for tangent0sSum-difference identities for tangentDouble-angle identitiesDouble-angle identities0sDouble-angle identitiesHalf-angle identitiesHalf-angle identities0sHalf-angle identitiesProduct-to-sum identitiesProduct-to-sum identities0sProduct-to-sum identitiesSum-to-product identitiesSum-to-product identities0sSum-to-product identitiesProving the trig equationProving the trig equation0sProving the trig equationComplete solution set of the equationComplete solution set of the equation0sComplete solution set of the equation
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The law of sines and law of cosinesIntroduction to the law of sines and law of cosines0sLaw of sinesLaw of sines0sLaw of sinesThe ambiguous case of the law of sinesThe ambiguous case of the law of sines0sThe ambiguous case of the law of sinesArea from the law of sinesArea from the law of sines0sArea from the law of sinesLaw of cosinesLaw of cosines0sLaw of cosinesHeron’s formulaHeron’s formula0sHeron’s formula
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Final exam
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Onward to Precalculus
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Polar curvesIntroduction to polar curves0sPolar coordinatesPolar coordinates0sPolar coordinatesMultiple ways to express polar pointsMultiple ways to express polar points0sMultiple ways to express polar pointsConverting equationsConverting equations0sConverting equationsGraphing polar curves in a rectangular systemGraphing polar curves in a rectangular system0sGraphing polar curves in a rectangular systemGraphing circlesGraphing circles0sGraphing circlesGraphing rosesGraphing roses0sGraphing rosesGraphing cardioidsGraphing cardioids0sGraphing cardioidsGraphing limaçonsGraphing limaçons0sGraphing limaçonsGraphing lemniscatesGraphing lemniscates0sGraphing lemniscatesIntersection of polar curvesIntersection of polar curves0sIntersection of polar curves
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Complex numbersIntroduction to complex numbers0sComplex numbersComplex numbers0sComplex numbersComplex number operationsComplex number operations0sComplex number operationsGraphing complex numbersGraphing complex numbers0sGraphing complex numbersDistances and midpointsDistances and midpoints0sDistances and midpointsComplex numbers in polar formComplex numbers in polar form0sComplex numbers in polar formMultiplying and dividing polar formsMultiplying and dividing polar forms0sMultiplying and dividing polar formsPowers of complex numbers and De Moivre’s TheoremPowers of complex numbers and De Moivre’s Theorem0sPowers of complex numbers and De Moivre’s TheoremComplex number equationsComplex number equations0sComplex number equationsRoots of complex numbersRoots of complex numbers0sRoots of complex numbers
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MatricesIntroduction to matrices0sMatrix dimensions and entriesMatrix dimensions and entries0sMatrix dimensions and entriesRepresenting systems with matricesRepresenting systems with matrices0sRepresenting systems with matricesSimple row operationsSimple row operations0sSimple row operationsGauss-Jordan elimination and reduced row-echelon formGauss-Jordan elimination and reduced row-echelon form0sGauss-Jordan elimination and reduced row-echelon formMatrix addition and subtractionMatrix addition and subtraction0sMatrix addition and subtractionScalar multiplication and zero matricesScalar multiplication and zero matrices0sScalar multiplication and zero matricesMatrix multiplicationMatrix multiplication0sMatrix multiplicationIdentity matricesIdentity matrices0sIdentity matricesTransformationsTransformations0sTransformationsMatrix inverses, and invertible and singular matricesMatrix inverses, and invertible and singular matrices0sMatrix inverses, and invertible and singular matricesSolving systems with inverse matricesSolving systems with inverse matrices0sSolving systems with inverse matricesSolving systems with Cramer’s RuleSolving systems with Cramer’s Rule0sSolving systems with Cramer’s Rule
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Partial fractionsIntroduction to partial fractions0sFraction decompositionFraction decomposition0sFraction decompositionDistinct linear factorsDistinct linear factors0sDistinct linear factorsRepeated linear factorsRepeated linear factors0sRepeated linear factorsDistinct quadratic factorsDistinct quadratic factors0sDistinct quadratic factorsRepeated quadratic factorsRepeated quadratic factors0sRepeated quadratic factorsMixed factorsMixed factors0sMixed factors
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Conic sections and analytic geometryIntroduction to conic sections and analytic geometry0sIdentifying conic sectionsIdentifying conic sections0sIdentifying conic sectionsCirclesCircles0sCirclesEllipsesEllipses0sEllipsesParabolasParabolas0sParabolasHyperbolasHyperbolas0sHyperbolasRotating axesRotating axes0sRotating axesPolar equations of conicsPolar equations of conics0sPolar equations of conics
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Parametric curvesIntroduction to parametric curves0sParametric curves and eliminating the parameterParametric curves and eliminating the parameter0sParametric curves and eliminating the parameterDirection of the parameterDirection of the parameter0sDirection of the parameterFinding the parametric representationFinding the parametric representation0sFinding the parametric representation
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Final exam and wrap-up
HOW BECOME A TRIGONOMETRY & PRECALCULUS MASTER IS SET UP TO MAKE COMPLICATED MATH EASY:
This 302-lesson course includes video and text explanations of everything from Trigonometry and Precalculus, and it includes 89 quizzes (with solutions!) and an additional 10 workbooks with extra practice problems, to help you test your understanding along the way. Become an Trigonometry & Precalculus Master is organized into the following sections:
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
AND HERE’S WHAT YOU GET INSIDE OF EVERY SECTION:
Videos: Watch over my shoulder as I solve problems for every single math issue you’ll encounter in class. We start from the beginning… I explain the problem setup and why I set it up that way, the steps I take and why I take them, how to work through the yucky, fuzzy middle parts, and how to simplify the answer when you get it.
Notes: The notes section of each lesson is where you find the most important things to remember. It’s like Cliff Notes for books, but for math. Everything you need to know to pass your class and nothing you don’t.
Quizzes: When you think you’ve got a good grasp on a topic within a course, you can test your knowledge by taking one of the quizzes. If you pass, great! If not, you can review the videos and notes again or ask for help in the Q&A section.
Workbooks: Want even more practice? When you’ve finished the section, you can review everything you’ve learned by working through the bonus workbook. The workbooks include tons of extra practice problems, so they’re a great way to solidify what you just learned in that section.
HERE’S WHAT SOME STUDENTS OF BECOME A TRIGONOMETRY & PRECALCULUS MASTER HAVE TOLD ME:
“Krista’s courses are the absolute best you can find online, as far as I’m concerned. I feel like I am actually learning something from them!” – Jon K.
“The Instructor has an excellent command of the subject material and a great way of presenting it. In addition to that, she has a very pleasant voice that keeps you attentive.” – Robert S.
“This is an excellent course to become more familiar with trigonometric equations. The step by step instruction is very is to follow. I found it very helpful to follow along with solving the problems on paper to solidify the learning experience.” – David M.
“Krista explains everything in “simplest terms” so even if you haven’t worked with this stuff for a while, she makes it totally easy to get back into the swing of it all. Thanks for (another) excellent course!” – Paul L.
“Huge help to be able to review these in a platform much more suited to learning than YouTube.” – Wesley F.
YOU’LL ALSO GET:
Lifetime access to Become a Trigonometry & Precalculus Master
Friendly support in the Q&A section
Xlbake Certificate of Completion available for download
Enroll today!
I can’t wait for you to get started on mastering trigonometry and precalculus.
– Krista 🙂
What's included
- 19.5 hours on-demand video
- 135 articles
- 240 downloadable resources
- Access on mobile and TV
- Certificate of completion