Tag Archives: unit circle

Calculus – Trigonometric Function Integration using the Substitution Method

By | April 7, 2017

Trigonometric Function Integration using the Substitution Method In this tutorial students learn how to calculate the area under a trigonometric function over an interval using the u-substitution technique. Virginia Standards of Learning(SOL) APC.11

Calculus – Find the Definite Integral of a Trigonometric Function

By | April 2, 2017

Definite Integral of a Trigonometric Function In this tutorial students learn how to evaluate the definite integral of a trigonometric function.  The students also learn how to verify the results on a TI-84 Plus C graphing calculator. Virginia Standards of Learning(SOL) APC.11

Calculus – Find the Definite Integral of a Trigonometric Function – Example 2

By | April 1, 2017

Find the Definite Integral of a Trigonometric Function In this tutorial students learn how to evaluate the definite integral of a trigonometric function.  The students will also verify the results on a TI-84 Plus C graphing calculator. Also note that sine is an odd function meaning … sin(-x) = -sin(x) Virginia Standards of Learning(SOL) APC.11  

Calculus – Limits Indeterminate Form

By | March 28, 2017

Limits Indeterminate Form In this tutorial students learn how to evaluate the limit of a function when direct substitution results in the indeterminate form of infinity times 0.  Rewrite the function so that a different indeterminate form is created and then L’hopital’s Rule can be applied. Virginia Standards of Learning(SOL) APC.2, APC.8

Math Analysis – Convert Polar Coordinates to Rectangular Coordinates

By | March 6, 2017

Convert Polar Coordinates to Rectangular Coordinates In this tutorial the students will learn how to convert polar coordinates to rectangular coordinates. x=r*cos(theta) y=r*sin(theta) y/x = tan(theta) (x * x) + (y * y) = r * r Virginia Standards of Learning(SOL) MA.10

Math Analysis – Polar Coordinates Basics

By | March 5, 2017

Polar Coordinates Basics In this tutorial the student will learn the basics about polar coordinates.

Math Analysis – Angle Between Vectors

By | February 18, 2017

Angle Between Vectors In this tutorial students learn how to calculate the angle between 2 vectors. Virginia Standards of Learning(SOL) MA.11

Math Analysis – Average rate of change of a trigonometric function

By | October 8, 2016

Average rate of change of a trigonometric function In this tutorial students learn how to evaluate the average rate of change of a trigonometric function over a specified interval. Virginia Standards of Learning(SOL) SOL APC.6 The student will investigate the derivative at a point on a curve. This will include a) finding the slope of a curve… Read More »

Trigonometry – Unit Circle Construction – COUNTING METHOD

By | October 6, 2016

Unit Circle Construction – COUNTING METHOD In this tutorial students learn how to create the Unit Circle based off of memorization. Virginia Standards of Learning (SOL) T.1, T.2, T.3 Notice how all of the (x,y) values have a denominator of 2. Notice the 1, 2, and 3 counting technique used for each of the numerators. Take the square… Read More »

Trigonometry – Unit Circle construction from scratch

By | October 5, 2016

Unit Circle construction from scratch In this tutorial students learn how to create the Unit Circle based on knowledge of the 30,60,90 and 45,45,90 special triangle and fact that x=cos(theta) and y=sin(theta). Virginia Standards of Learning (SOL) T.1, T.2, T.3 Notice how all of the (x,y) values have a denominator of 2. Notice the 1, 2, and 3… Read More »