Saturday, February 4, 2017

So similar......the square root of 2.............multiplied by ten.............................certain common triangles................much of math is similar...........14 i................where the 1st zero is.....



Example: what are the sine, cosine and tangent of 30° ?

The classic 30° triangle has a hypotenuse of length 2, an opposite side of length 1 and an adjacent side of √3:
30 degree triangle
Now we know the lengths, we can calculate the functions:
Sine
 sin(30°) = 1 / 2 = 0.5
Cosine
 cos(30°) = 1.732 / 2 = 0.866...
Tangent
 tan(30°) = 1 / 1.732 = 0.577...
(get your calculator out and check them!)

Example: what are the sine, cosine and tangent of 45° ?

The classic 45° triangle has two sides of 1 and a hypotenuse of √2:
45 degree triangle
Sine
 sin(45°) = 1 / 1.414 = 0.707...
Cosine
 cos(45°) = 1 / 1.414 = 0.707...
Tangent
 tan(45°) = 1 / 1 = 1

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