# Tag Archives: sine

## 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 – 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

## Trigonometry – Sine Trigonometric Equation with a Horizontal Shift

By | October 3, 2016

Sine Trigonometric Equation with a Horizontal Shift In this tutorial students learn how to find all of the solutions to a trigonometric equation over a specified interval, [0,2π). 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.… 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 »

## Trigonometry – Sine Double Angle Identity

By | September 20, 2016

Sine Double Angle Identity In this tutorial students learn how to verify a trigonometric equation.  The students will learn to use trigonometric identities like the Double Angle Identity and the Pythagorean Identity. Virginia Standards of Learning (SOL) T.5 Key Skills Pythagorean Identities sin²x + cos²x = 1 1 + cot²x = csc²x tan²x + 1 = sec²x… Read More »

## Math Analysis – Solve Sine Trigonometric Equation over the interval [0,2pi)

By | September 19, 2016

Solve Sine Trigonometric Equation over an interval In this tutorial the student will learn how to solve a trigonometric equation over a specified interval, [0,2π). The students will also 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.… Read More »

## Trigonometry – Sine Difference Formula

By | September 17, 2016

Sine Difference Formula In this tutorial learn how to verify a trigonometric equation using trigonometric identities like the sine difference formula. Virginia Standards of Learning (SOL) T.5 Key Points of Knowledge Sum and Difference Formulas cos (α + β) = cos (α) cos (β) – sin (α) sin (β) cos (α – β) = cos (α)… Read More »

## Trigonometry – Sum and Difference Formulas of Sine and Cosine

By | September 15, 2016

Sum and Difference Formulas of Sine and Cosine In this tutorial student learn how to verify a trigonometric equation using trigonometric identities like the difference formula for sine and cosine. Virginia Standards of Learning (SOL) T.5 Key Points of Knowledge Sum and Difference Formulas cos (α + β) = cos (α) cos (β) – sin (α)… Read More »