What is the value of (cos(pi/6))/(sin(pi/6)) ?

The value of (cos(pi/6))/(sin(pi/6)) is square root of 3

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(cos(pi/6))/(sin(pi/6))

\frac{cos ( \frac{π}{6} )}{sin ( \frac{π}{6} )}

3

Solution steps

\frac{cos ( \frac{π}{6} )}{sin ( \frac{π}{6} )}

Use the following trivial identity:

cos (\frac{π}{6}) = \frac{3}{2}

Use the following trivial identity:

sin (\frac{π}{6}) = \frac{1}{2}

= \frac{\frac{3}{2}}{\frac{1}{2}}

Simplify

\frac{\frac{3}{2}}{\frac{1}{2}} : 3

= 3

3 cos^{2} (\frac{7 π}{4})

arctan (0.26)

40 \cdot sec^{2} (\frac{\frac{20 π}{3}}{40}) \cdot \frac{1}{40} \cdot 355

3 (cos (\frac{π}{6}) + i sin (\frac{π}{6}))

arctan (0.07)

What is the value of (cos(pi/6))/(sin(pi/6)) ?
The value of (cos(pi/6))/(sin(pi/6)) is square root of 3