Tangents Teacher Resources

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Students apply the properties of trigonometric ratios to solve problems. In this calculus lesson, students apply the ratios of sine, cosine and tangent as they solve problems with vectors.
In this sine, cosine, tangent worksheet, students read short statements, draw illustrations of the statement and then use trigonometric ratios to determine the length of the missing side or measurement of an angle. This five-page worksheet contains 3 multi-step problems. Explanations and examples are provided.
Students explore the concept of the unit circle.  In this unit circle instructional activity, students create a scatter plot of the sine, cosine, and tangent function using data from the x and y values on the unit circle.  Students generalize the tangent, sine, and cosine relationships.
Tenth graders explore right triangle trigonometry.  In this geometry lesson, 10th graders investigate the sine and cosine ratios for right triangles.  The use of Cabri Jr. allows for measurement of side lengths and angles and allows students to examine of the ratios and to form and verify conjectures.
Students find the angle measures of a right triangle given two side lengths.  In this finding the angle measures of a right triangle given two side lengths lesson, students record the ratio of a leg and hypotenuse of a right triangle.  Students discuss why the ratio remains constant when a common vertice is manipulated.  Students find the angle measure of a right triangle using sine, cosine, and tangent ratios.
For this right triangles worksheet, students fill out a chart for right triangles in sine, cosine, and tangent and complete word problems. Students complete 5 problems total.
Students identify the ratios of trig functions. In this trigonometry lesson, students construct triangles and use it to derive the values of sine, cosine and tangent. They use Cabri software to create the visual of the identities.
Students explore properties of tangent lines.  In this properties of tangent lines lesson, students discuss the perpendicular relationship between a tangent line on a circle and the circle's radius.  Students use that relationship to determine unknown distances.
This unit covers the basic trigonometry including understanding radians, how to convert between radians and degrees, the area of a circle subtended by an angle, basic properties and graphs of sine, cosine, tangent, and solving trigonometric equations. Activities, problem sets, and answers are given. 
Students identify the different ratios of a right triangle. For this trigonometry lesson, students calculate the sine, cosine and tangent of a right triangle. They differentiate between right and oblique triangles.
Students derive the six trigonometric functions. In this trigonometry lesson, students show their understanding of trigonometric functions as they relate the right triangles. They find the missing angles and side use trig ratios of sine, cosine and tangent.
In this trigonometry worksheet, students solve for trigonometric functions. They convert between radians and angles using the properties of sine, cosine and tangent. There are 30 problems on this handout.
Tenth graders explore the trigonometric ratios.  In this geometry lesson, 10th graders solve problems using sine, cosine, and tangent to find missing triangle measurements.  Students investigate real-world problems using the trigonometric ratios and their inverses. 
High schoolers explore the concept of finding the height of a building.  In this finding the height of a building lesson, students use clinometers to determine the angle of depression or elevation.  High schoolers use sine, cosine, and the angle of elevation/depression to find the height of a clock tower/building on campus.
Learners derive the six trigonometric ratios. In this trigonometry instructional activity, students use trigonometric properties to find the missing angles of triangles.
Pupils derive the six trigonometric identities. In this trigonometry lesson, students review the parts of a right triangle and use the Pythagorean theorem as a guide to find the trig identities. They find sine, cosine and tangent ratios.
In this trigonometric tables learning exercise, students complete sine, cosine, and tangent measurements in a chart. Students complete 11 problems.
Students explore the concept of circles.  In this circles lesson, student take sine and cosine values from the unit circle and plot them on a coordinate plane.  Students discuss the relationship between the sine and cosines graph and the unit circle. 
Students identify different locations on a unit circle. In this precalculus lesson, students identify the different trig properties and rewrite the equation of a circle in standard form. They use mnemonic devices to help them remember the different ratios of trigonometry.
This video introduces the basics of trigonometry. It starts by defining a right triangle and showing two different examples of finding the ratios of sine, cosine, and tangent using the SOH-CAH-TOA mnemonic. This resource could be used as a quick introduction or review.

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