Become a Trigonometry & Precalculus Master

Course Name : Become a Trigonometry & Precalculus Master
Students : 41,878
Duration : 19.5 hrs & 240 downloadable resources
Avg Rating : 4.8 (4,135 ratings)
Original Price : $119.99
Discount Price : $14
Instructor / Provider : Krista King, Udemy
Course Type : Self Paced Online Course. Lifetime Access
Coupon : Click on ENROLL NOW to apply discount code

Course Structure

• Angles and Measurement Systems: Degrees, radians, and DMS conversion.
• Circular Functions: Overview and real-world applications of sine, cosine, tangent, etc.
• Unit Circle and Triangle Applications: Leveraging the unit circle for triangle properties.
• Circular Dynamics: Oriented arcs, velocity concepts, and sectors.
• Graphing Trigonometric Functions: From basic curves to complex transformations.
• Inverse Functions: Graphs and inverse relationships of trig functions.
• Trigonometric Identities: Prove and use essential identities for advanced problem-solving.
• Sine and Cosine Laws: Triangular relationships and advanced calculations with Heron’s formula.
• Polar Systems: Transition between coordinate systems and graph polar curves.
• Complex Number Mastery: Explore polar representations and De Moivre’s theorem.
• Matrix Techniques: System-solving, elimination methods, transformations, and inverses.
• Partial Fraction Decomposition: Tackle distinct and repeated factors, including complex cases.
• Conic Sections: Analyze and graph conics, including rotated and polar forms.
• Parametric Equations: Interpret and graph parametric curves effectively.

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What You’ll Learn

• Angles and Their Measures: Explore degrees, DMS (degrees, minutes, seconds), and radians.
• Six Circular Functions: Master sine, cosine, tangent, cosecant, secant, and cotangent.
• The Unit Circle: Learn to find sine and cosine values and use them to complete triangles.
• Angles in Circles: Understand oriented arcs, circular sectors, and concepts like linear and angular velocity.
• Graphing Trigonometric Functions: Delve into sine and cosine graphs, transformations, and shifts (period, amplitude, horizontal, and vertical).
• Inverse Trigonometric Functions: Study their properties and graphing techniques.
• Trigonometric Identities: Work with identities such as even-odd, sum-difference, double-angle, half-angle, product-to-sum, and sum-to-product.
• Laws of Sines and Cosines: Apply these laws, including Heron’s formula for triangle area.
• Polar Coordinates and Curves: Convert between rectangular and polar forms and graph polar equations.
• Complex Numbers: Understand polar forms, multiplication, and De Moivre’s theorem.
• Matrices: Solve systems of equations, use Gauss-Jordan elimination, and explore matrix transformations and inverses.
• Partial Fractions: Decompose fractions with distinct, repeated, linear, and quadratic factors.
• Conic Sections and Analytic Geometry: Analyze circles, ellipses, parabolas, and hyperbolas, including rotating and polar equations of conics.
• Parametric Curves: Represent curves parametrically and determine the direction and sketch of their graphs.

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