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Students are often unsure why angles in the same segment of a circle have to be equal. Colin Foster explains how to make it ...
In this triangle \ (a^2 = b^2 + c^2\) and angle \ (A\) is a right angle. Pythagoras' theorem only works for right-angled triangles, so you can use it to test whether a triangle has a right angle ...
The cosine of this angle is the length of the horizontal side divided by the hypotenuse. The Pythagorean theorem is therefore equivalent to the equation sin 2 x + cos 2 x = 1.