SOCRATIC
Subjects
Science
Anatomy & Physiology
Astronomy
Astrophysics
Biology
Chemistry
Earth Science
Environmental Science
Organic Chemistry
Physics
Math
Algebra
Calculus
Geometry
Prealgebra
Precalculus
Statistics
Trigonometry
Humanities
English Grammar
U.S. History
World History
... and beyond
Socratic Meta
Ask question
Log in
Sign up
×
Loading...
turksvids has helped students
times in
19 thank you notes
Someone from Kazakhstan
thnx
for this
answer
2 months ago
·
Like
Someone from Singapore, Singapore
thank you
for this
answer
4 months ago
·
Like
Someone from United Kingdom
Thank you so much especially for the explanation
for this
answer
5 months ago
·
Like
Show more
turksvids
High School math teacher with a sincere interest in doing the best I can!
32K karma
Activity
Videos
368 Answers
13 Edits
@s-t
turksvids
wrote an answer to
How do you use the important points to sketch the graph of #y = 2x^2 + x âˆ’ 15#?
.
4 months ago
·
Like
@s-t
turksvids
wrote an answer to
Question #fd5c5
.
4 months ago
·
Like
@s-t
turksvids
wrote an answer to
Question #9ed95
.
4 months ago
·
Like
@s-t
turksvids
wrote an answer to
Question #bcc54
.
4 months ago
·
Like
@s-t
turksvids
wrote an answer to
Question #2c9a8
.
4 months ago
·
Like
@s-t
turksvids
wrote an answer to
Question #d444c
.
4 months ago
·
Like
@s-t
turksvids
wrote an answer to
Question #355f8
.
4 months ago
·
Like
@s-t
turksvids
wrote an answer to
4. If the cosecant of a fourth quadrant angle is â€“Ï€/e, what is its cosine? Thanks
.
4 months ago
·
Like
@s-t
turksvids
commented
Accidentally answered the wrong question...
on
A triangle has sides A, B, and C. Sides A and B have lengths of 8 and 3, respectively. The angle between A and C is #(13pi)/24# and the angle between B and C is # (pi)24#. What is the area of the triangle?
4 months ago
·
Like
@s-t
turksvids
updated
the answer to
A triangle has sides A, B, and C. Sides A and B have lengths of 8 and 3, respectively. The angle between A and C is #(13pi)/24# and the angle between B and C is # (pi)24#. What is the area of the triangle?
.
4 months ago
·
Like
Show more activity
Calculus
1
Limits
Determining Limits Algebraically
Algebra for Limits - Rationalize the Numerator
Algebra for Limits - Binomial Expansions
Algebra for Limits - Simplifying Complex Fractions: Common Denominator
Limit Examples with Factoring
Intemediate Value Theorem
Using the Intermediate Value Theorem Examples
2
Basic Differentiation Rules
Proof of the Product Rule
Proof of Product Rule
Quotient Rule
Proof of Quotient Rule
Proof of Quotient Rule
Proof of Quotient Rule
Implicit Differentiation
Implicit Differentiation - Vertical and Horizontal Tangents
Second Derivative of an Implicit Function
Implicit Differentiation Examples
Implicit Differentiation on the TI-Nspire CAS
Summary of Differentiation Rules
Derivative Rules Review
3
Differentiating Trigonometric Functions
Differentiating Inverse Trigonometric Functions
Derivatives of the Inverse Trig Functions
4
Differentiating Logarithmic Functions
Differentiating Logarithmic Functions without Base e
Derivatives of Logs in Other Bases
5
Graphing with the First Derivative
Interpreting the Sign of the First Derivative (Increasing and Decreasing Functions)
Relating First Derivative to Function - Part 1
Relating First Derivative to Function - Part 2
Mean Value Theorem for Continuous Functions
Using the Mean Value Theorem with a Table of Values
6
Applications of Derivatives
Solving Optimization Problems
Optimization - Minimum time to Swim and Walk to Town
Using Implicit Differentiation to Solve Related Rates Problems
Related Rates - The Shadow Problem
Related Rates - Filling a Cone Problem
Related Rates - Sliding Ladder Problem
Related Rates - Isosceles Triangle Trough Problem
Related Rates - Trapezoidal Trough Problem
7
Introduction to Integration
Integrals of Polynomial functions
Finding Integrals by Reversing the Power Rule
Integrals of Trigonometric Functions
Integrating Even Powers of Sine and Cosine
Integrating Products of Sines and Cosines
Integrals of Exponential Functions
Integrals of Exponentials
8
Techniques of Integration
Integration by Substitution
Integrals by u-substitution
More u-substitution Examples (Do in your head!)
Tricky u-substitution Example 1
Tricky u-substitution Example 2
Integration by Parts
Integration by Parts - Some basic examples.
Integration by Parts - Slightly more advanced examples.
Integration by Parts - An example that loops.
Integral of Secant Cubed
Integral of Arcsine
Integration by Trigonometric Substitution
Integrals by Trig Substitution Examples
Integral by Trig Substitution Example (Challenging)
Integral by Partial Fractions
Partial Fractions (Non-Repeating Linear Factors)
Partial Fractions (Repeated Linear Factors)
Partial Fractions (Quadratic Factors)
9
Methods of Approximating Integrals
RAM (Rectangle Approximation Method/Riemann Sum)
Riemann Sums - Right, Left, and Midpoint
Limit of a Riemann Sum
Integration Using Euler's Method
Euler's Method on TI-Nspire
Doing Euler's Method in a Spreadsheet on the TI-Nspire
10
Applications of Definite Integrals
Solving Separable Differential Equations
Separable Differential Equation (Natural Logs)
Finding Constants for Exponential Function
Slope Fields
Slope Fields on TI-Nspire
Logistic Growth Models
Logistic Differential Equation - Properties and Example
Logistic Differential Equation - Finding the Solution
Determining the Volume of a Solid of Revolution
Volumes with Known Cross-Sections
Volume by Shells - Part 1
Volume by Shells - Part 2
Volume of Revolution by Disks and Washers Concept
Volume of Revolution (Disks/Washers) Examples - Horizontal Axis
Volume of Revolution (Disks/Washers) Examples - Vertical Axis
11
Parametric Functions
Derivative of Parametric Functions
Second Derivative of Parametric Equations
12
Polar Curves
Introduction to Polar Coordinates
Polar Graphing 1 - Rose Curve (Sine)
Polar Graphing 2 - Rose Curve (Cosine)
Polar Graphing 3 - Limacon (Cosine)
Calculus Polar Area Concept
Calculus Polar Area Rose Curve Example
Calculus Polar Areas Limacon Example
Calculus Polar Area Region Between Curves Example
Calculating Polar Areas
Calculus Polar Area Concept
Calculus Polar Area Rose Curve Example
Calculus Polar Areas Limacon Example
Calculus Polar Area Region Between Curves Example
Polar Area Traced Out
Polar Areas TI-Nspire
13
Tests of Convergence / Divergence
Geometric Series
Geometric Series Summing to Functions
Integral Test for Convergence of an Infinite Series
Series Tests - The Integral Test
Alternating Series Test (Leibniz's Theorem) for Convergence of an Infinite Series
Alternating Series Test and Error for Alternating Series
Limit Comparison Test for Convergence of an Infinite Series
Series Tests - Limit Comparison Test
Ratio Test for Convergence of an Infinite Series
Series Tests - The Ratio Test
Ratio Test with TI-Nspire CAS
14
Power Series
Constructing a Taylor Series
Taylor Polynomials from Taylor's Formula
Taylor Polynomial Problem
Taylor Series to Memorize
Precalculus
1
Functions Defined and Notation
Function Composition
Domains of Compositions
2
Linear and Quadratic Functions
Graphing Quadratic Functions
Quadratic Given Vertex and Point
Quadratic Through Three Points
Writing Quadratic Functions in Vertex Form
Linear and Quadratic Functions on a Graphing Calculator
TI-Nspire - First Time Graphing
TI-Nspire - First Time Graphing (Part 2)
3
Polynomial Functions of Higher Degree
End Behavior
Polynomials, Graphs, and End Behavior
4
Real Zeros of Polynomials
Long Division of Polynomials
Polynomial Long Division
5
Graphing Rational Functions
Transformations of the Reciprocal Function
Graphing a Reciprocal Function
Rational Functions - How to Graph
Rational Functions - Graphing Examples
Limits - End Behavior and Asymptotes
Rational Functions - Discontinuities
Rational Functions - Vertical and Horizontal Asymptotes
Rational Functions - Slant Asymptotes
Rational Functions - Asymptotes and Limits at Infinity
6
Graphs of Trigonometric Functions
Graphing Sine and Cosine
Graphing Sine and Cosine Functions
7
Dot Product of Vectors
Angle between Vectors
Dot Product and the Angle Between Vectors
Vector Projection
Resolving a Vector into Perpendicular Components
8
Polar Coordinates
The Polar Coordinate System
Polar Coordinates Introduction and Equations of Lines
Rose Curves
Polar Graphing 1 - Rose Curve (Sine)
Polar Graphing 2 - Rose Curve (Cosine)
Limacon Curves
Polar Graphing 3 - Limacon (Cosine)
9
Complex Numbers in Trigonometric Form
Multiplication of Complex Numbers
Multiplying Complex Numbers
Division of Complex Numbers
Dividing Complex Numbers of the form a + bi
Roots of Complex Numbers
Finding the nth Roots of a Complex Number
Examples of nth Roots of Complex Numbers
10
Matrix Algebra
Cramer's Rule
Cramer's Rule
11
Systems of Inequalities in Two Variables
Linear Programming
Linear Programming Example
Looking at a Linear Programming Example
12
Geometry of a Parabola
Identify Critical Points
Conic Section - Parabola
Parabola Construction from Focus and Directrix
13
Geometry of an Ellipse
Graphing Ellipses
Conic Section - Ellipse
14
Geometry of a Hyperbola
Graphing Hyperbolas
Hyperbola - Graphing from Equation
Hyperbola - Converting General Form to Standard Form and Graphing
15
Translation and Rotation of Axis
Graphing Conic Sections on a Graphing Calculator
TI-Nspire Graphing Conic Sections 1
TI-Nspire Graphing Conic Sections 2
16
3-D Cartesian Coordinate System
Planes
Equation of a Plane (The concept behind it.)
Equation of a Plane Through Three Points (No Cross Product)
Equation of a Plane through Three Points
Finding Equation of a Plane Examples
17
The Binomial Theorem
Powers of the Binomial
Algebra for Limits - Binomial Expansions
18
Sequences
Arithmetic Sequences
Arithmetic Sequences - Definition and Writing Sequences
Arithmetic Sequences More Examples
Formula for nth Term of Arithmetic Sequence
Geometric Sequences
Formula for nth Term of Geometric Sequence
19
Series
Sums of Arithmetic Sequences
Sum of Arithmetic Sequence (Arithmetic Series)
Sums of Geometric Sequences
Finite Geometric Series Sum
Trigonometry
1
Right Triangles
The Pythagorean Theorem
Pythagorean Theorem Basics
Special Right Triangles
Special Right Triangles
Trigonometric Functions of Any Angle
Rewriting Trig Functions of Angles
2
Graphing Trigonometric Functions
Translating Sine and Cosine Functions
Graphing Sine and Cosine Functions
General Sinusoidal Graphs
Graphing Sine and Cosine Functions
Graphing Tangent, Cotangent, Secant, and Cosecant
Graphing Cosecant and Secant Functions
Graphing Tangent and Cotangent Functions
3
Trigonometric Identities and Equations
Proving Identities
Verifying/Proving Trig Identities (Part 1)
Verifying/Proving Trig Identities (Part 2)
Verifying/Proving Trig Identities (Part 3)
Verifying/Proving Trig Identities (Part 4)
Verifying Some Harder Trig Identities
Yet Another Hard Trig Identity (3 terms over 3 terms)
Still Another Hard Trig Identity
Solving Trigonometric Equations
Solving Trig Equations - Algebra Techniques
Solving Trig Equations - Nice Angles
Solving Trig Equations - Not Nice Angles
Graphically Solving Trig Equations on TI-Nspire
Solving Trig Equations on the TI-Nspire CAS
Products, Sums, Linear Combinations, and Applications
Rewriting A*sinx + B*cosx using cosine sum and difference
4
Inverse Trigonometric Functions
Basic Inverse Trigonometric Functions
Inverse Sine - Evaluating and the Unit Circle
Graphing Inverse Trigonometric Functions
Inverse Sine - Graph and where it comes from
5
Triangles and Vectors
The Law of Cosines
Deriving the Law of Cosines
Law of Cosines Example: Side Angle Side
Law of Cosines Example: Side-Side-Side
Area of a Triangle
Heron's Formula
Heron's Formula on the TI-Nspire using Math Boxes
The Law of Sines
Ambiguous Case of the Law of Sines
Law of Sines Ambiguous Case Example
The Ambiguous Case
Ambiguous Case of the Law of Sines
Law of Sines Ambiguous Case Example
Another Approach to the Ambiguous Case
Vectors
Adding and Subtracting Vectors by Drawing
6
The Polar System
Polar Coordinates
Polar Coordinates Introduction and Equations of Lines
Polar Graphing on TI-Nspire
Graphing Basic Polar Equations
Polar Graphing 1 - Rose Curve (Sine)
Polar Graphing 2 - Rose Curve (Cosine)
Polar Graphing 3 - Limacon (Cosine)
Polar Graphs from Rectangular Graphs
Polar Graphing on TI-Nspire
Combine Polar and Parametric on TI-Nspire
The Trigonometric Form of Complex Numbers
Distance Between Complex Numbers in Trig Form
De Moivreâ€™s and the nth Root Theorems
Finding the nth Roots of a Complex Number
Examples of nth Roots of Complex Numbers
Algebra
1
Forms of Linear Equations
Linear Equations in Point-Slope Form
Point-Slope Form of a Line
2
Systems of Equations and Inequalities
Systems Using Substitution
Solving Linear Systems - Substitution 1
Solving Linear Systems - Substitution 2
Solving Linear Systems - Substitution 3
Mixture Problems
Algebra Mixture Problems
Linear Systems with Addition or Subtraction
Solving a System of 3 Equations with 3 Unknowns
3
Quadratic Equations and Functions
Vertex Form of a Quadratic Equation
Quadratic Function Given Vertex and Point
Quadratic Given Vertex and Point
4
Rational Equations and Functions
Addition and Subtraction of Rational Expressions
Adding and Subtracting Rational Expressions
Geometry
1
Circles
Equation of a Circle
Equation of a Circle Through Three Points
Loading...
Loading...
Loading...