Tangents Teacher Resources

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Learners use the sum angle formula for sine to derive the sum and difference formulas for cosine and tangent. The level of difficulty is quite high. Learners must be familiar with trigonometric identities as well as the characteristics of even functions before beginning.
Students find the different ratios of a right triangle. In this geometry lesson, students apply the concept of the Pythagorean theorem as they identify the different angles and parts of a Unit Circle. They find the ratios of sine, cosine, and tangent.
Students discover how to recognize tangents and how to use their properties. They investigate and use the properties of angles, arcs, chords, tangents, and secants. Students use two tangents and the properties of similar triangles to prove the two tangents must be congruent.
This detailed lesson plan leads your learners through an investigation of the relationships between central, inscribed, and circumscribed angles of a circle. The opening activity reviews central and inscribed angles and their intercepted arcs by having learners create problems for a partner to solve. After discussing their solutions, learners work in small groups to complete a worksheet that contains five diagrams showing circles with angles formed by radii, chords, diameters, secants, and tangents. Referring to a list of possible description options, pupils determine the exact figures that form each angle, measure the angle with a protractor, then interpret the result in relation to the measures of the central angle and intercepted arcs.
Students relate properties of right triangles to the unit circle. In this trigonometry activity, students  identify the different ratios of a right triangles and use it create the different parts of a Unit Circle. They find the six trig identities using the unit circle.
This is a multi-faced unit that looks at circles, arcs, sectors, cylinders, cones, spheres, and hemispheres. The formulas for finding length, area, surface area, and volume are discussed with an eye towards an intuitive understanding. Vocabulary is also stressed. This unit is organized to easily use only the parts you need. 
Young scholars identify the properties of right triangles. In this geometry lesson, students identify the different ratios and parts of a Unit Circle. They use the unit circle as an aid in finding parts of a special triangle and trig identities.
Learners explore how changing an angle in a triangle changes the ratio of the sides. They also explore how changing the sides can make changes to an angle in a triangle. Finally, they determine how two different pairs of sides, in the same ratio, will give them the same angle.
Students explore the concept of Pi. In this Pi lesson, students calculate the area of regular polygons inscribed and circumscribe around a unit circle. Students use their data to create an algorithm to find Pi with never ending digits.
Young scholars measure angles using a plane table kit. In this geometry lesson, students use trigonometric identities to find the values of the length of a football field.
Young scholars investigate trigonometric identities. In this calculus lesson, students draw graphs of sine, cosine and tangent and identify the six trigonometric functions.
In this physics worksheet, students solve 23 trigonometry based problems. Students apply the Pythagorean Theorem in electricity calculations.
Learners explore the sine, cosine, and tangent relationships of a right triangle.  In this sine, cosine, and tangent relationships of a right triangle instructional activity, students construct a right triangle.  Learners develop the sine, cosine, and tangent relationships by measuring angles and side lengths of a right triangle.  Students find the ratio of opposite and adjacent sides to each other and the hypotenuse.
Students apply the properties of a right triangle. In this triangle lesson plan, students describe and compare radians to degrees. They solve problems using the properties and ratios of a right triangle.
Students identify the different properties of a right triangle. For this trigonometry lesson, students find the sine, cosine, and tangent with their inverses using the properties of a right triangle.
The class uses the computers to access GeoGebra Dynamic Worksheets to learn the basics about vectors. They will look at graphs and make computations to problem solve to find coordinates of vectors.  
In this calculus learning exercise, students solve values involving trigs and the unit circle. They identify graphs of sine, cosine and tangents. They solve for angles using the unit circle and the calculator.
Students solve indirect ratios.  In this indirect measurement lesson plan, students explore trigonometric functions and ratios using outdoor objects.  They estimate heights and  perform indirect measurements.
Students explore the concept of triangles. In this triangles lesson, students use Geometer's Sketchpad to explore characteristics of isosceles triangles and right triangle trigonometric ratios. Students measure lengths of sides and angle degrees.
Tenth graders solve for missing sides on a triangle using the Pythagorean Theorem. In this geometry lesson, 10th graders are introduced to basic trigonometry functions as they solve problems of right triangles. They discuss the formulas involved with sine, cosine and tangent.

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Tangents