unit system 18 videos

Unit Vectors
Precalculus Vectors and Parametric Equations
How to express a vector algebraically in terms of the unit vectors i and j.
unit vectors length magnitude the unit vectors i and j vector addition scalar multiplication component form 
Trigonometric Identities
Precalculus Trigonometric Functions
How to use the unit circle to derive the tangent identity and the Pythagorean identity.
identities the unit circle trigonometric identities the Pythagorean identity 
Solving Linear Systems Using Matrix Algebra
Precalculus Systems of Linear Equations and Matrices
How to convert a system of linear equations into a matrix equation and solve it.
matrices square matrices matrix equation coefficient matrix inverse matrix identity matrix matrix multiplication 
Introduction to the 3D Coordinate System
Precalculus Vectors and Parametric Equations
How to define the components and length of a position vector in three dimensions.
axes coordinates position vector components magnitude length distance origin 
Graphing the Reciprocal Trigonometric Functions
Precalculus Trigonometric Functions
How to use the unit circle to derive identities that are useful in graphing the reciprocal trigonometric functions.
identities the unit circle the cofunction identities the "add Π@" identities 
Cramer's Rule
Precalculus Systems of Linear Equations and Matrices
How to solve a system of two linear equations with two unknowns using Cramer's rule.
systems of linear equations Cramer's rule determinant coefficient matrix 
Graph of the Tangent Function
Precalculus Trigonometric Functions
How to graph y = tan(theta) for 0 <= theta < pi/2.
tangent the unit circle asymptotes 
The Definitions of Sine and Cosine
Precalculus Trigonometric Functions
How we define sine and cosine for all angle measures using the unit circle.
sine cosine right triangle definitions of sine and cosine angles in standard position unit circle definitions of sine and cosine 
The Tangent Function
Precalculus Trigonometric Functions
How to define the tangent function for all angles.
tangent right triangle trigonometry the unit circle 
The Reciprocal Trigonometric Functions
Precalculus Trigonometric Functions
How to define the reciprocal trigonometric functions, the reciprocal identities, and the Pythagorean identities.
identities the unit circle reciprocal identities the Pythagorean identities 
The Cross Product of Vectors
Precalculus Systems of Linear Equations and Matrices
How to compute the cross product of two 3D vectors.
unit vectors components cross product determinant 
Evaluating Sine and Cosine at Special Acute Angles
Precalculus Trigonometric Functions
How do we measure sine and cosine of pi/4?
sine cosine unit circle definitions of sine and cosine angles in standard position 
Trigonometric Equations that Require Factoring
Precalculus Advanced Trigonometry
How to solve a sine equation by factoring: 4 [sin(theta)]^2 = 2.
trigonometric equations factoring the unit circle principal solutions periodicity 
The Cosine Addition Formulas
Precalculus Advanced Trigonometry
How to derive the cosine of a difference formula.
the unit circle the law of cosines the distance formula cosine of a difference formula 
Parametrizing a Circle
Precalculus Vectors and Parametric Equations
How to write the parametric equations of a circle centered at (0,0) with radius r, oriented counterclockwise.
the unit circle cosine sine parametrization parametric equations circle counter clockwise 
Evaluating Sine and Cosine at Other Special Angles
Precalculus Trigonometric Functions
How to measure the sine and cosine of 150.
sine cosine unit circle definitions of sine and cosine angles in standard position reference angles 
Using the Inverse Trigonometric Functions
Precalculus Advanced Trigonometry
How to evaluate expressions like tan(sin (4/5))^(1).
sine cosine tangent inverse sine inverse cosine inverse tangent the unit circle 
Introduction to Polar Coordinates
Precalculus Polar Coordinates and Complex Numbers
How to describe a point's location with polar coordinates, and how to convert from polar coordinates to rectangular coordinates.
polar axis pole origin coordinates rectangular coordinates polar coordinates coordinate system Pythagorean theorem sine cosine tangent