How to memorize Pythagoras' Theorem & Trigonometry

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..

Comments 1 comment

Nspeel profile image

Nspeel 5 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

    Sign in or sign up and post using a HubPages Network account.

    0 of 8192 characters used
    Post Comment

    No HTML is allowed in comments, but URLs will be hyperlinked. Comments are not for promoting your articles or other sites.

    Click to Rate This Article