Trigonometric_ratios_similarity
Learn how the trigonometric ratios are derived from triangle similarity considerations.
Sine_cosine_of_complementary_angles
Learn about the relationship between the sine of an angle and the cosine of its complementary angle, which is the angle that completes to 90°.
Learn about the Law of cosines and how to use it in order to find missing side lengths and angles in general triangles.
Introduction_to_the_trigonometric_ratios
Learn what sine, cosine, and tangent are.
Solving_for_an_angle_in_a_right_triangle_using_the_trigonometric_ratios
Learn how to find an acute angle in a right triangle when given two side lengths.
Use the power of trigonometry in order to solve various problems that involve triangles.
Solve real-world problems that can be modeled by right triangles, using trigonometry.
Named after the Greek philosopher who lived nearly 2600 years ago, the Pythagorean theorem is as good as math theorems get (Pythagoras also started a religious movement). It's simple. It's beautiful. It's powerful. In this tutorial, we will cover what it is and how it can be used. We have another tutorial that gives you as many proofs of it as you might need.
Learn about the Law of sines and how to use it in order to find missing side lengths and angles in general triangles.
The Pythagorean theorem is one of the most famous ideas in all of mathematics. This tutorial proves it. Then proves it again... and again... and again. More than just satisfying any skepticism of whether the Pythagorean theorem is really true (only one proof would be sufficient for that), it will hopefully open your mind to new and beautiful ways to prove something very powerful.
Solving_for_a_side_in_a_right_triangle_using_the_trigonometric_ratios
Learn how to find a side length in a right triangle when given one side length and one acute angle.
We hate to pick favorites, but there really are certain right triangles that are more special than others. In this tutorial, we pick them out, show why they're special, and prove it! These include 30-60-90 and 45-45-90 triangles (the numbers refer to the measure of the angles in the triangle).
Pursuit_of_a_Pythagorean_proof_optional_
An exploration which allows the reader to choose his or her own path to a proof of the Pythagorean theorem.
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