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How to memorize Pythagoras' Theorem & Trigonometry

Updated on August 30, 2011
Diagram 1
Diagram 1
Diagram 2
Diagram 2

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 = 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..


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    • Nspeel profile image

      Nspeel 6 years ago from Myrtle Beach

      Great very useful hub. I think this will also draw in a lot of traffic for you. Great hub for real consider yourself bookmarked and followed. Voted up