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The Law of Sines
Precalculus Basic Trigonometry
How to define the law of sines.
law of sines ratios triangles 
The Law of Cosines
Precalculus Basic Trigonometry
How to define and use the law of cosines.
law of cosines ratios triangles 
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 Equations: Investment Problem
Precalculus Linear Equations and Inequalities
How to solve an interest problem when given the total amount deposited.
word problem investment interest 
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: Mixture Problem
Precalculus Linear Equations and Inequalities
How to solve a mixture problem when the size difference between the two containers is known.
word problem mixture 
Applied Linear Equations: Collection Problem
Precalculus Linear Equations and Inequalities
How to solve a word problem about how many dimes and quarters it takes to make a certain denomination.
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Applied Linear Equations: Geometry Problem
Precalculus Linear Equations and Inequalities
How to find the angles of a triangle by creating a linear equation.
word problem angle measure 
Navigation Problems
Precalculus Vectors and Parametric Equations
How we measure airspeed, wind, groundspeed, and other variables in navigation.
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Finding Maximum and Minimum Values
Precalculus Polynomial and Rational Functions
How we define optimization problems, and what it means to solve them.
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Geometric Sequences
Precalculus Sequences and Series
How to find the general term of a geometric sequence.
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Applied Linear Inequalities
Precalculus Linear Equations and Inequalities
How to find a test score to keep the class grade at least 90%.
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Exponential Growth and Decay
Precalculus Exponential and Logarithmic Functions
How to find the doubling time of a population when the growth rate is given.
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The Distance Formula in Polar Coordinates
Precalculus Polar Coordinates and Complex Numbers
How to derive the distance formula for polar coordinates.
polar coordinates the law of cosines triangles 
Applied Linear Equations: Consecutive Numbers
Precalculus Linear Equations and Inequalities
How to solve a problem involving consecutive integers.
consecutive numbers 
Expanding Logarithms
Precalculus Exponential and Logarithmic Functions
How to use the laws of logarithms to expand a log.
rules of logarithms rules of logs 
Condensing Logarithms
Precalculus Exponential and Logarithmic Functions
How to use the laws of logarithms to condense a log.
rules of logarithms rules of logs 
Geometric Series
Precalculus Sequences and Series
How to find the sum of a geometric series.
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Compound Interest (Finite Number of Calculations)
Precalculus Exponential and Logarithmic Functions
How to use the compounded interest formula to find the value of an investment.
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The Cosine Addition Formulas
Precalculus Advanced Trigonometry
How to derive the cosine of a difference formula.
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