What is the value of cos(30)cos(30)-sin(30)sin(30) ?

The value of cos(30)cos(30)-sin(30)sin(30) is 1/2

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cos(30)cos(30)-sin(30)sin(30)

cos (3 0^{\circ}) cos (3 0^{\circ}) - sin (3 0^{\circ}) sin (3 0^{\circ})

\frac{1}{2}

Solution steps

cos (3 0^{\circ}) cos (3 0^{\circ}) - sin (3 0^{\circ}) sin (3 0^{\circ})

Use the following trivial identity:

cos (3 0^{\circ}) = \frac{3}{2}

Use the following trivial identity:

sin (3 0^{\circ}) = \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{111}{tan ( 9 )}

sin (7 0^{\circ}) cos (2 0^{\circ}) + cos (7 0^{\circ}) sin (2 0^{\circ})

cos (2 arcsin (\frac{2}{2}))

arctan (\frac{8}{4.9})

cos (68 6^{\circ}) \cdot sec (3 4^{\circ}) + cos (1 8^{\circ}) \cdot sin (- 7 2^{\circ})

What is the value of cos(30)cos(30)-sin(30)sin(30) ?
The value of cos(30)cos(30)-sin(30)sin(30) is 1/2