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

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

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

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

\frac{1}{2}

Solution steps

cos (\frac{π}{6}) cos (\frac{π}{6}) - sin (\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} \cdot \frac{3}{2} - \frac{1}{2} \cdot \frac{1}{2}

Simplify

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

= \frac{1}{2}

\frac{24 sin ( 2 2 ^{\circ} )}{sin ( 4 0 ^{\circ} )}

tan (72 0^{\circ})

arctan (\frac{7}{15})

arctan (\frac{5.7}{5.4})

20 sin (3 5^{\circ})

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