Tangents Teacher Resources

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Learners apply the properties of trigonometric ratios to solve problems. In this calculus lesson plan, students apply the ratios of sine, cosine and tangent as they solve problems with vectors.
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.
In this video, Sal shows how the sine and cosine of an angle are defined on the unit circle. He inscribes a 30-60-90 triangle in the unit circle and explains how one can use SOH-CAH-TOA to find the coordinates on the circle.
Young scholars 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.
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 lesson, 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.
High schoolers 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.  High schoolers use that relationship to determine unknown distances.
Trigonometry? What's trigonometry. Well, something to do with triangles, right? Right! Right triangles! In this problem, find the missing length of one of the sides. So set this up as a ratio: cosine(A) = adjacent side length divided by the length of the hypotenuse. Still not sure what to do? Then watch this video as the instructor walks through the steps.
Students identify the different ratios of a right triangle. In this trigonometry lesson, students use the Pythagorean Theorem to find the ratios of the sides of a right triangle. They identify the measurements of sine, cosine and tangent.
Students identify the different ratios of a right triangle. In this trigonometry lesson, students calculate the sine, cosine and tangent of a right triangle. They differentiate between right and oblique triangles.
Students 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.  Students use sine, cosine, and the angle of elevation/depression to find the height of a clock tower/building on campus.
Students derive the six trigonometric ratios. In this trigonometry lesson, students use trigonometric properties to find the missing angles of triangles.
In this trigonometric tables worksheet, 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. 
This video defines what it means for a line to be tangent to a circle. It also defines the term point of tangency and shows how the radius drawn to the point of tangency is perpendicular to the tangent line.
Students explore the concept of sine and cosine.  In this sine and cosine activity, students work in groups to graph sine and cosine functions.  Students examine how coefficients in various parts of each parent function shift the graph.  Students discuss vertical and horizontal shifts as well as shrinks and stretches of the parent graphs.
Students study the concept of tangent of a unit circle. In this unit circle lesson, students explore the mathematical history of the trigonometric ration, tangent, through an interactive date-gathering construction that simulates an experience that mirrors how values of trig functions may have been approximated.
Students use Geometer's Sketchpad or Patty Paper Geometry to explore and write conjectures about chords, tangents, arcs and angles. In this geometric conjecture lesson, students examine what a conjecture is as it relates to geometric properties. Students explore central angles and inscribed angles while writing conjectures about the relationship between the measure of these angles.
Students model scenarios using functions and their properties. In this trigonometry instructional activity, students calculate the angles of sine, cosine and tangent. They perform operation using a calculator.

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