Now, look at the pics again
Now, the sum of all angle in a triangle is 180°. The angle in front of the tilted side is a right angle. So it took 90° all by it self. That left only 90° of angle to be divided between x and y.
Hence, x+y=90°.
That means
y=90°-x
Naturally
sin(x)=cos(90°-x)
cos(x)=sin(90°-x)
The same way but less importantly
sec(x)=cosec(y)=cosec(90°-x)
cosec(x)=sec(y)=sec(90°-x)
Take a look at
the angle we’ll be discussing is x.
In front of the angle we see b
x is an angle between the tilted side and the other side. Well the tilted side is called the hypotenuse. In Indonesia we simply called them tilted side. You’ll learn math more easily if you know some Asian language.
sine also abbreviated as sin, as in screwing someone else hoes, is the ratio between the front side and the tilted side.
So, sin (x) = b/c
Now there is no math equation editor in html so this will be ugly.
Let’s use pencil pushing power.
The area of the square is (a+b)^2.
The white area is c^2.
So the white area is the area of the square minus the area of that little cute triangles right Phoebe? Each of which is 1/2*(ab). There are 4 triangles. So the total area of the triangles are
4*1/2*(ab)=2ab
Now that means
c^2=(a+b)^2-2ab
=a^2+2ab+b^2-2ab
=a^2+b^2
Tada another proof of pythagoras theorem.
