# Cotangent

If the angle α is acute, and cotg α = 1/3. Determine the value of sin α, cos α, tg α.

Result

sin α =  0.95
cos α =  0.32
tg α =  3

#### Solution:

$cotg \alpha = \dfrac { \cos \alpha }{ \sin \alpha } \ \\ \ \\ \sin \alpha = \dfrac{ 3}{ \sqrt{ 1^2 + 3^2}} = 0.95$
$\cos \alpha = \dfrac{ 1 }{ \sqrt{ 1^2 + 3^2}} = 0.32$
$tg \ \alpha = \dfrac{1}{ cotg \alpha} = \dfrac{ 3}{ 1} = 3$

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Most natural application of trigonometry and trigonometric functions is a calculation of the triangles. Common and less common calculations of different types of triangles offers our triangle calculator. Word trigonometry comes from Greek and literally means triangle calculation.

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