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There are three of them. Granted this means that there are different variations of all three. I'll show you the variations as well. This is coming straight from my Math 1060 (Trigonometry) notebook. Sorry there is no key to represent the angle; Theta.
1. Sin2 (of Theta) + Cos2 (of Theta)= 1
Variations: Sin2 (of Theta) = 1- Cos2 (of Theta)
AND: Cos2 (of Theta) = 1-Sin2 (of Theta)
2. Tan2 (of Theta) + 1 = sec2 (of Theta)
Variations: Tan2 (of Theta) = Sec2 (of Theta) -1
3. 1 + Cot2 (of Theta) = Csc2 (of Theta)
Variations: Cot2 (of Theta) = Csc2 (of Theta) -1
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What is sin squared theta cos squared theta?
If there is a plus in between, that would be equal to 1, as a result of the Pythagorean Theorem. Otherwise, you can convert this into other forms with some of the trigonometric identities for multiplication, but you won't really get it into a simpler form.
Sets of Pythagorean triples?
3,4,5 1,2,3 these are sets of pythagorean triples
Converse of Pythagorean Theorem?
The Pythagorean Theorem allows the mathematician to determine the value of the hypotenuse. The converse of the Pythagorean Theorem manipulates the formula so that the mathematician can use the values to determine that if the triangle is a right triangle.
What is the pythagorean principle?
The pythagorean principle is A squared + B squared = C squared. This is applyed when solving side lengths of triangles.
What is the form of the Pythagorean triple generator?
If p and q are integers, then a = p2 - q2 b = 2pq, and c = p2 + q2 form a Pythagorean triple. Furthermore, if p and q are co-prime then the triple is primitive Pythagorean.
