What is the value of cos(30)cos(60)-sin(30)sin(60) ?

The value of cos(30)cos(60)-sin(30)sin(60) is 0

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cos(30)cos(60)-sin(30)sin(60)

cos (3 0^{\circ}) cos (6 0^{\circ}) - sin (3 0^{\circ}) sin (6 0^{\circ})

0

Solution steps

cos (3 0^{\circ}) cos (6 0^{\circ}) - sin (3 0^{\circ}) sin (6 0^{\circ})

Use the following trivial identity:

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

Use the following trivial identity:

cos (6 0^{\circ}) = \frac{1}{2}

Use the following trivial identity:

sin (3 0^{\circ}) = \frac{1}{2}

Use the following trivial identity:

sin (6 0^{\circ}) = \frac{3}{2}

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

Simplify

= 0

arcsin (\frac{5}{9})

cos^{2} (9)

8 sin (\frac{π}{4})

cos (2 (\frac{3 π}{4}))

5 sin (5 0^{\circ})

What is the value of cos(30)cos(60)-sin(30)sin(60) ?
The value of cos(30)cos(60)-sin(30)sin(60) is 0