Cotangent

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

Correct answer:

sin α =  0.95
cos α =  0.32
tg α =  3

Step-by-step explanation:

$$\begin{gathered} cotg\alpha ={\displaystyle \frac{\cos \alpha }{\sin \alpha }} \\ \sin \alpha ={\displaystyle \frac{3}{\sqrt{1^2+3^2}}}=0.95 \end{gathered}$$

$\cos \alpha ={\displaystyle \frac{1}{\sqrt{1^2+3^2}}}=0.32$

$tg\alpha ={\displaystyle \frac{1}{cotg\alpha }}={\displaystyle \frac{3}{1}}=3$

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