# Tag Archives: special triangles

## Math Analysis – Average rate of change of a trigonometric function

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 from scratch

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 »

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

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 »

## Trigonometry – Sine Trigonometric Equation with a Horizontal Shift

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 – Tangent Trigonometric Equation – Find all solutions

Tangent 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 – Cosine Trigonometric Equation – Find all solutions

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 – Cotangent Trigonometric Equation on an Interval

Cotangent Trigonometric Equation on an Interval In this tutorial students learn how to find all of the solutions to a trigonometric equation over a specified interval, [0,2π). The students also 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)… Read More »

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

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 »

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

Cosine Trigonometric Equation over an interval In this tutorial the student will learn how to solve a trigonometric equation over a specified interval, [0,2pi). 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. 2) Get the… Read More »