the power reduction formulas 23 videos
-
The Half-Angle Identities
Precalculus Advanced Trigonometry
How to use the power reduction formulas to derive the half-angle formulas.
the power reduction formulas the half angle formulas quadrants -
Power Rule of Logarithms
Precalculus Exponential and Logarithmic Functions
How to use the power rule for logarithms.
power rule of logarithms -
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 -
The Double-Angle Formulas
Precalculus Advanced Trigonometry
How to use the sine and cosine addition formulas to prove the double-angle formulas.
the sine of a sum formula the cosine of a sum formula the sine double angle formula the cosine double angle formula -
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 -
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 -
The Sine Addition Formulas
Precalculus Advanced Trigonometry
How to derive the sine of a sum formula.
cosine of a difference formula the cofunction identities the sine of a sum formula -
Using the Sine and Cosine Addition Formulas to Prove Identities
Precalculus Advanced Trigonometry
How to use the sine and cosine addition formulas to prove the cofunction identities.
the cosine addition formulas the sine addition formulas -
The Euler Formula
Precalculus Polar Coordinates and Complex Numbers
How to use the Euler Formula to convert a complex number from the exponential form to rectangular form.
complex numbers trigonometric form Euler formula e sine cosine modulus argument -
The Midpoint and Distance Formulas in 3D
Precalculus Vectors and Parametric Equations
How to derive the formula for the midpoint of a segment in three dimensions.
position vectors the vector from point a to point b the midpoint formula vector addition scalar multiplication -
Other Forms of the Cosine Double-Angle Formula
Precalculus Advanced Trigonometry
How to derive two more cosine double-angle formulas.
the Pythagorean identity the cosine double angle formulas -
Conic Section Formulas
Precalculus Conic Sections
How to identify a conic section by its formula.
parabola circle ellipse hyperbola center focus -
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 -
Change of Base Formula
Precalculus Exponential and Logarithmic Functions
How to use the change of base formula for logs to evaluate a logarithmic statement.
change of base log logarithm -
The Circle
Precalculus Conic Sections
How to use the distance formula to derive the equation for a circle.
circle center radius distance formula equation for a circle -
The Circle
Precalculus Equations of Lines, Parabolas and Circles
How to use the distance formula to derive the equation for a circle.
circle center radius distance formula equation for a circle -
Exponential Functions and their Graphs
Precalculus Exponential and Logarithmic Functions
How to define an exponential function.
exponential function power function base exponent -
Recursion Sequences
Precalculus Sequences and Series
How to use a recursion formula to represent the Fibonacci sequence.
recursion previous term Fibonacci -
Properties of Logarithms
Precalculus Exponential and Logarithmic Functions
How to evaluate logarithms when the argument is a recognizable power of the base.
logarithmic functions exponential functions inverse functions identities the common logarithm -
DeMoivre's Theorem
Precalculus Polar Coordinates and Complex Numbers
How to raise a complex number to an integer power using DeMoivre's Theorem.
complex numbers trigonometric form modulus argument
