Question

My teacher made up the name big kahuna to make it easier to mesmerize the name but I’m not sure what the identity of this Pythagorean is. It relates to trig proofs.

Answer 1

Pretty sure your teacher means sin²x+cos²x=1

Explanation:

There's the Pythagorean identity sin²x+cos²x=1 if that's what you mean

Answer 2

The Pythagorean Theorem leads to a simple proof of the Pythagorean Identity using only the basic definitions of trig functions. The Pythagorean Theorem on a right triangle with legs a,b and hypotenuse c gives us: a2+b2=c2. Dividing through by c2 gives: (ac)2+(bc)2=1.