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You can use the Pythagorean identity to solve this:(sin theta) squared + (cos theta) squared = 1.
Pythagoras was a person, pythagorean refers to his mathematical theories - principally his theorems about the measures of the sides of a right angled triangle.
Yes. His name is on it.
Hmmm... because HE created it ! Pythagorean theorem is named after the mathematician Pythagoras ! See related link for the Wikipedia article on the gentleman concerned !
If you have two lengths of the triangle, the Pythagorean theorem will help you find the third. As it is, you need to find two numbers whose squares add up to 1296. There are a lot of possibilities.