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Intercepts and Asymptotes of Tangent Functions
Precalculus Trigonometric Functions
How to find the xintercepts and vertical asymptotes of the graph of y = tan(q).
sine cosine tangent zeros x intercepts vertical asymptotes 
The Resultant of Two Forces
Precalculus Vectors and Parametric Equations
How to find the resultant of two forces when they are parallel, opposite, or perpendicular in direction.
Forces Resultant Vector Addition Magnitude Direction The Pythagorean Theorem 
Vectors and Planes
Precalculus Vectors and Parametric Equations
How to find a vector normal (perpendicular) to a plane given an equation for the plane.
normal vector position vector perpendicular vectors planes the equation of a plane 
Lines in Polar Coordinates
Precalculus Polar Coordinates and Complex Numbers
How to find the polar equation of a line through the origin (or pole).
polar coordinates lines origin polar equation rectangular equation 
More Roots of Complex Numbers
Precalculus Polar Coordinates and Complex Numbers
How to find the roots of a complex number quickly using four simple guidelines.
complex numbers trigonometric form complex roots modulus argument 
Applied Linear Equations: Tax Problem
Precalculus Linear Equations and Inequalities
How to solve a word problem about finding the tax on a purchase.
word problem tax 
Applied Linear Equations: Distance Problem
Precalculus Linear Equations and Inequalities
How to find the speed of transit when the time of two different legs is known.
distance rate time word problem 
Applied Linear Inequalities
Precalculus Linear Equations and Inequalities
How to find a test score to keep the class grade at least 90%.
applied linear inequality word problem average score test word problem 
Infinite Limits; Vertical Asymptotes
Calculus Limits and Continuity
How to use onesided limits to find a vertical asymptote.
one sided limits infinity limit does not exist rational functions left hand limit right hand limit table of values numerical approach vertical asymptote 
Derivatives of Exponential Functions
Calculus The Derivative
How to use the definition of the derivative to find a derivative formula for exponential functions.
limits derivative definition of the derivative difference quotient exponential functions natural logarithm 
Critical Points
Calculus Applications of the Derivative
How to find a twosided limit by investigating onesided limits.

Relative Maxima and Minima
Calculus Applications of the Derivative
How to use onesided limits to find a vertical asymptote.

Definite Integrals and Area
Calculus The Definite Integral
How to use definite integrals to find the area between a curve or under a curve.
definite integral area problems area between curves 
Average Value of a Function
Calculus The Definite Integral
How to find the average value of a function over an interval [a,b].
average value antidifferentiation limits of integration functions area under a curve 
Greatest Common Factors
Algebra Factoring
How to find the greatest common factor of 2 or more expressions.
greatest common factor factor monomial binomial 
Inductive Reasoning
Geometry Reasoning, Diagonals, Angles and Parallel Lines
How to define inductive reasoning, and how to find numbers in a sequence.
inductive reasoning deductive reasoning patterns Fibonacci sequence. 
Polygon Angle Sum
Geometry Polygons
How to derive the formula to find the sum of angles in any polygon.
triangle angle sum diagonal polygon 
Equiangular Polygon Sums
Geometry Polygons
How to find the measure of one angle in any equiangular or regular polygon.
equiangular regular congruent triangles sum 
Tangent Segments to a Circle
Geometry Circles
How to find the length of tangent segments drawn to a circle from the same point.
tangent congruent segments inscribed circle 
Secants
Geometry Circles
How to define a secant; how to find the length of various secants in circles.
secant intercepted arcs proportion arc measure tangent chord