Tangents Teacher Resources

The equation of a circle is the focus of this site. Topics include tangents, intersecting circles, and intersection of lines and circles. Examples and a practice test are available.

[Free Registration/Login Required] Students identify segments and lines related to circles and the properties of a tangent to a circle.

In this activity students explore the tangent ratio. Students construct a right triangle using perpendicular lines, and a line that forms the hypotenuse of the triangle. When students construct the hypotenuse line it is very important...

Three circles are mutually tangent. Students are asked to find the total area of the circles plus the area inside where they meet. Students will need to know how to calculate the area of a circle, a sector of a circle, and an equilateral...

In this activity, students will investigate properties of angles and arcs formed when chords, secants, and tangents intersect and intercept arcs in a circle. They discover several important theorems concerning circles and arc sizes. They...

[Free Registration/Login Required] Students can adjust the size of the circle to explore the tangent lines. Click learn more to watch a video and click challenge me to answer a practice question.

The goal of this task is to show how to draw a circle which is tangent to all three sides of a given triangle: that is, the circle touches each side of the triangle in a single point. Aligns with G-C.A.3.

This site offers a problem and solution to finding all possible slopes for a line tangent to a circle given a particular equation of a circle. Could be an interesting challenge for students.

The free mathematics tutorial explores the unit circle and trigonometric functions. The tutorial consists of definitions and examples with solutions. The interactive applet allows students to investigate domain, range, and asymptotes of...

[Free Registration/Login Required] Students will adjust points to explore secants and tangents of circles. Click learn more to watch a video and click challenge me to answer a practice question.

Video exploring the graphs of the basic trigonometric functions. Effects of changes in the equation of the sine function to the period and the amplitude of the graph are shown. Includes link to additional practice problems. [10:17]

Demonstrates solutions to problems #61-65 of California Geometry released state test questions. Problems address the equation of a circle, basic trigonometry. [11:04]

The video tutorial [12:21] demonstrates solutions to problems #66-70 of California Geometry released state test questions. Problems address basic trigonometry ratios, 30-60-90 triangles.

Video introduces the arctangent function. Includes an example of finding the arctangent using knowledge of the unit circle. Includes link to additional practice problems. [10:06]

The purpose of this task is to use similar triangles and setting up a proportion in order to calculate a side length. Aligns with G-SRT.B.5.

This site provides a video tutorial on the topic of trigonometric limits. The video considers limits at infinity for sine, cosine and tangent functions.

This site is a presentation that discusses how to graph inverse trigonometric functions. Topics included on the presentation are inverse sine, cosine and tangent functions.

Learners explore the special angles for the six trigonometric functions. The special angles can be used to solve trigonometry problems. The table gives the values of sine, cosine, tangent, cotangent, secant, and cosecant for special angles.

[Free Registration/Login may be required to access all resource tools.] Derivation of double angle identities for sine, cosine, and tangent.

This online trigonometry calculator will calculate the sine, cosine, tangent, cotangent, secant and cosecant of angle values entered in degrees or radians. The trigonometric functions are also known as the circular functions.

This online trigonometry calculator will calculate the sine, cosine, tangent, cotangent, secant and cosecant of values. The trigonometric functions are also known as the circular functions.

Sketches of the graphs of the 12 "parent," trigonometry functions are given: sine, cosine, tangent, secant, cosecant, cotangent, arcsine, arccosine, arctangent, arcsecant, arccosecant, and arccotangent.

This site provides information on sine, cosine, and tangent. Lengths of the sides are discussed and many diagrams/tables are shown.

In this activity, students use the calculator to solve trigonometry problems using sine, cosine, and tangent. They also find inverses of trigonometric functions.