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

The value of cos(pi/6)-sin(pi/6) is (sqrt(3)-1)/2

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

cos (\frac{π}{6}) - sin (\frac{π}{6})

\frac{3 - 1}{2}

Solution steps

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{3}{2} - \frac{1}{2}

Simplify

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

= \frac{3 - 1}{2}

sin (38 0^{\circ})

arccos (\frac{43}{48})

\frac{132}{tan ( 5 )}

tan (- 102 0^{\circ})

tan (\frac{7 π}{6} + \frac{7 π}{4})

What is the value of cos(pi/6)-sin(pi/6) ?
The value of cos(pi/6)-sin(pi/6) is (sqrt(3)-1)/2