Tag Archives: unit circle

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 »

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 – Tangent Trigonometric Equation – Find all solutions

By | October 2, 2016

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 – Keys to remember the 6 Basic Trigonometric Functions

By | September 30, 2016

6 Basic Trigonometric Functions In this tutorial the students will learn about the 6 Basic Trigonometric Functions.  They will also see how the functions relate to the Unit Circle and Right Triangles.  Lastly, the students will also be introduced to the Pythagorean Identities. Key Skills Pythagorean Identities sin²x + cos²x = 1 1 + cot²x = csc²x tan²x +… 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 – Cotangent Trigonometric Equation on an Interval

By | September 21, 2016

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)

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 »

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

By | September 14, 2016

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 »

Math Analysis – Trigonometric Equation on an Interval

By | September 7, 2016

Trigonometric Equation on an Interval In this tutorial the students will learn how to solve a trigonometric equation on an interval.  The student should be familiar with interval notation, the unit circle, trigonometric ratios, properties of Algebra and basic Algebra operations used to solve equations. Key skills Interval Notation [ and ] are inclusive ( and… Read More »