How to memorize Pythagoras' Theorem & Trigonometry
A theorem that we applied on the right angled triangle is called Pythagoras' theorem. The Pythagoras' theorem is named after a great Greek Mathematician - Pythagoras.
Referring to diagram 1 (assuming angle x is between side b & side c), side a is Opposite line, side b is adjacent which side c is hypotenuse. The relation between opposite, adjacent and hypotenuse is called Pythagorean relation where :
c2 = a2 + b2 or (hypotenuse)2 = (Opposite)2 + (Adjacent)2
Pythagoras' theorem can be applied when we study Trigonometry. Referring to diagram 2 (assuming angle x is between b & c) , therefore c is hypotenuse, a is opposite and b is adjacent.
To determine the sine x, cosine x and tangent x, we applied the formula as below :
Sine x = Opposite / Hypotenuse
Cosine x = Adjacent / Hypotenuse
Tangent x = Opposite / Adjacent
Tips to memorize these three important formula, one can use the terms as below :
SOH , CAH , TOA
SOH = Sine, Opposite & Hypotenuse
CAH = Cosine, Adjacent & Hypotenuse
TOA = Tangent, Opposite & Adjacent
I found these tips are useful for me when I was studying Trigonometry last time, hopefully it is useful too to all the readers here..