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:

cotgα=cos⁡αsin⁡α  sin⁡α=312+32=0.95cotg \alpha = \dfrac { \cos \alpha }{ \sin \alpha } \ \\ \ \\ \sin \alpha = \dfrac{ 3}{ \sqrt{ 1^2 + 3^2}} = 0.95
cos⁡α=112+32=0.32\cos \alpha = \dfrac{ 1 }{ \sqrt{ 1^2 + 3^2}} = 0.32
tg α=1cotgα=31=3tg \ \alpha = \dfrac{1}{ cotg \alpha} = \dfrac{ 3}{ 1} = 3

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