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

The value of (cos(pi/6))/(-sin(pi/6)) is -sqrt(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

cos^{2} (\frac{3 π}{8}) + cos^{2} (\frac{π}{8})

cos (\frac{3 π}{4}) + sin (\frac{3 π}{4})

tan^{2} (1921 4^{\circ})

arcsec (- 1.0167)

arctan (\frac{35}{65})

What is the value of (cos(pi/6))/(-sin(pi/6)) ?
The value of (cos(pi/6))/(-sin(pi/6)) is -sqrt(3)