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

The value of cos(pi/6)cos(pi/3)-sin(pi/6)sin(pi/3) is 0

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cos(pi/6)cos(pi/3)-sin(pi/6)sin(pi/3)

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

0

Solution steps

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

Use the following trivial identity:

cos (\frac{π}{6}) = \frac{3}{2}

Use the following trivial identity:

cos (\frac{π}{3}) = \frac{1}{2}

Use the following trivial identity:

sin (\frac{π}{6}) = \frac{1}{2}

Use the following trivial identity:

sin (\frac{π}{3}) = \frac{3}{2}

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

Simplify

= 0

100 sin (9 0^{\circ})

cos^{2} (\frac{π}{6}) - 2 sin (\frac{π}{6})

arctan (\frac{7.7}{14})

arctan (tan (2))

arctan (\frac{57}{68})

What is the value of cos(pi/6)cos(pi/3)-sin(pi/6)sin(pi/3) ?
The value of cos(pi/6)cos(pi/3)-sin(pi/6)sin(pi/3) is 0