Trigonometric Identity: sin(π-x) = sin(x)

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In this video I go over an overtly detailed analysis of the trig identity sin(π-x) = sin(x). I go over the simple proof of it but then illustrate how the graph of sin(x) gets shifted to the left by π and then flipped vertically and ending up coinciding with sin(x). This is an interesting trig identity because it's unlike the usual trig identities which involve constants being subtracted from x, such as sin(x-π) = -sin(x), as opposed to the other way around.

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I don't always prove basic trig identities but when I do I usually go over it in too much detail ;)

mes
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I have a doubt I didn't understand the obtuse angle part, I mean why did we consider the triangle with a degree 'x' for 'pi-x'??

skullcrusher
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you make such a easy thing become a lot harder lol

jameswu
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Wait….I jus saw a proof that it equals -sinx not sinx ! Oh god! Who is right?!

MathCuriousity