# Tag Archives: cosine

## 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 – 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 – Solve Quadratic Trigonometric Equation over the Interval [0,2pi)

By | October 4, 2016

Quadratic Trigonometric Equation In this tutorial students learn how to solve a quadratic trigonometric equation over a specified interval, [0,2π). The students then verify the solutions using the GRAPH, TABLE, WINDOW and ZOOM features of the TI-84C. Virginia Standards of Learning(SOL) T.8 1) Simplify and/or factor the equation if necessary. 2) Get the trigonometric function on… Read More »

## Solving trigonometric quadratic equations using the Substitution Method

By | September 28, 2016

Substitution Factoring Method In this tutorial students will learn how to use the substitution factoring method.  The students will solve a quadratic equation that has trigonometric functions. Virginia Standards of Learning(SOL) T.8 1) Simplify and/or factor the equation if necessary. 2) Get the trigonometric function on one side and the numeric value on the other side. 3)… Read More »

## Trigonometry – Cosine Trigonometric Equation – Find all solutions

By | September 26, 2016

Cosine Trigonometric Equation – Find all solutions In this tutorial students learn how to find all of the solutions to a trigonometric equation. The students then verify the solutions using the GRAPH, WINDOW and TRACE features of the TI-84C. Virginia Standards of Learning(SOL) T.8 1) Simplify and/or factor the equation if necessary. 2) Get the trigonometric function… Read More »

## Trigonometry – Sum and Difference formulas of sine and cosine – Example 2

By | September 23, 2016

Sum and Difference formulas of Sine and Cosine In this tutorial the students will learn how to use the sum and difference formulas for unknown angles. The students will be given the quadrants and the result of the specified trigonometric functions.  The student will then construct the needed triangles to solve the question. Key Points of… Read More »

## Trigonometry – Sum and Difference Formulas for Sine and Cosine for unknown angles

By | September 22, 2016

Sum and Difference Formulas In this tutorial the students will learn how to use the sum and difference formulas for unknown angles. The students will be given the quadrants and the result of the specified trigonometric functions.  The student will then construct the needed triangles to solve the question. Key Points of Knowledge Sum and Difference… Read More »