why do we get extraneous solutions 13 videos

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 
Graphing Polynomial Functions
Precalculus Polynomial and Rational Functions
How we identify the end behavior of a polynomial functions.
polynomial functions degree leading term turning points cubic functions quartic functions end behavior 
Find an Equation of the Polynomial Function
Precalculus Polynomial and Rational Functions
How we identify the equation of a polynomial function when we are given the intercepts of its graph.
polynomial functions cubic functions x intercepts factors end behavior leading coefficient stretch factor 
Integer Power Functions
Precalculus Polynomial and Rational Functions
How we identify odd power functions and even power functions.
odd power functions even power functions domain range end behavior symmetric about origin symmetric about y axis 
Polynomial Functions
Precalculus Polynomial and Rational Functions
How we define polynomial functions, and identify their leading coefficient and degree.
polynomial functions coefficients leading term leading coefficient degree 
Graphing Polynomial Functions with Repeated Factors
Precalculus Polynomial and Rational Functions
How we identify the behavior of a polynomial graph near an xintercept.
polynomial functions leading term end behavior x intercepts 
Finding Maximum and Minimum Values
Precalculus Polynomial and Rational Functions
How we define optimization problems, and what it means to solve them.
optimization problems quadratic functions parabola vertex 
Finding Zeros of a Polynomial Function
Precalculus Polynomial and Rational Functions
How we find the zeros of a polynomial function in expanded form.
polynomial functions zeros factored form expanded form the factor theorem the rational roots theorem potential zeros synthetic division the reduced polynomial the quadratic formula 
Navigation Problems
Precalculus Vectors and Parametric Equations
How we measure airspeed, wind, groundspeed, and other variables in navigation.
navigation airplane flight airspeed heading groundspeed course wind speed wind direction vector addition magnitude direction 
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 
Power Functions
Precalculus Polynomial and Rational Functions
How we define power functions, and which of our parent functions belong to this family.
power functions parent functions 
Using the Conjugate Zeros Theorem
Precalculus Polynomial and Rational Functions
How we find the zeros of a polynomial function when one imaginary zero is known.
polynomial functions quadratic functions zeros multiplicity the conjugate zeros theorem the conjugate roots theorem conjugates imaginary numbers imaginary zeros 
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