proving inverses 15 videos
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The Inverse Sine Function
Precalculus Advanced Trigonometry
How to restrict the domain of sine so it will have an inverse function.
inverse functions one to one inverse sine arcsine -
The Inverse Cosine Function
Precalculus Advanced Trigonometry
How to restrict the domain of cosine so it will have an inverse function.
inverse functions one to one inverse cosine arccosine -
The Inverse Tangent Function
Precalculus Advanced Trigonometry
How to restrict the domain of tangent so it will have an inverse function.
inverse functions one to one inverse tangent arctangent -
The Inverse of a Square Matrix
Precalculus Systems of Linear Equations and Matrices
How to determine whether two matrices are inverses.
matrices square matrices the identity matrix matrix multiplication invertible inverse matrix -
Inverse Trigonometric Functions
Precalculus Basic Trigonometry
How to use inverse trig functions to find angles in right triangles.
trigonometry right triangle inverse sine cosine tangent -
Using the Inverse Trigonometric Functions
Precalculus Advanced Trigonometry
How to evaluate expressions like tan(sin (4/5))^(-1).
sine cosine tangent inverse sine inverse cosine inverse tangent the unit circle -
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 -
Introduction to Logarithms
Precalculus Exponential and Logarithmic Functions
How to use inverses to define the logarithmic function.
logarithms inverse base exponent logarithmic form exponential form -
Mathematical Induction
Precalculus Sequences and Series
How to use mathematical induction.
mathematical induction assume prove -
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 -
Graph of Logarithmic Functions
Precalculus Exponential and Logarithmic Functions
How to find the graph of a logarithmic equation with a base greater than one.
log graph logarithmic graphs inverse graphically domain range asymptote -
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 -
Solving Trigonometric Equations
Precalculus Advanced Trigonometry
How to solve a simple sine equation: sin (theta) = 1/2.
trigonometric equations sine inverse sine supplement of an angle periodicity -
Invertible Square Matrices and Determinants
Precalculus Systems of Linear Equations and Matrices
How to determine whether a square matrix is invertible using its determinant.
square matrices invertible determinant zero determinant inverse of a 2x2 matrix -
Solving Linear Systems Using Matrix Algebra
Precalculus Systems of Linear Equations and Matrices
How to convert a system of linear equations into a matrix equation and solve it.
matrices square matrices matrix equation coefficient matrix inverse matrix identity matrix matrix multiplication