Where does the Pythagorean Identity sin2 Θ + cos2 Θ = 1 come from? How  does it relate to right triangles?

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15-05-2018
Mathematics

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Where does the Pythagorean Identity sin2 Θ + cos2 Θ = 1 come from? How  does it relate to right triangles?

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altavistard altavistard · Answer 1 · 2018-05-15T16:13:27+02:00

altavistard altavistard

15-05-2018

I think you meant (sin theta)^2 and (cos theta)^2.

There is an identity stating that (sin theta)^2 + (cos theta)^2 = 1.

Please, don't write "sin2 theta;" it looks too much like sin 2(theta), which is completely different from (sin theta)^2.

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Where does the Pythagorean Identity sin2 Θ + cos2 Θ = 1 come from? How does it relate to right triangles?

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Where does the Pythagorean Identity sin2 Θ + cos2 Θ = 1 come from? How  does it relate to right triangles?