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Sine and Cosine Formulas

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)

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Sines and Cosines

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

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Another Proof of Pythagoras Theorem 2

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.

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