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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.
collection change coins dimes quarter word problem denomination -
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.
navigation airplane flight airspeed heading groundspeed course wind speed wind direction vector addition magnitude direction -
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 -
Geometric Sequences
Precalculus Sequences and Series
How to find the general term of a geometric sequence.
geometric sequence general term rate -
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 -
Exponential Growth and Decay
Precalculus Exponential and Logarithmic Functions
How to find the doubling time of a population when the growth rate is given.
exponential growth exponential functions doubling time logarithmic functions the natural logarithm round off error -
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.
geometric series sum of a geometric sequence rate infinite sum finite sum -
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.
interest compound interest daily monthly weekly quarterly rate -
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