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

The value of sin(30)cos(60)-cos(30)sin(60) is -1/2

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

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

- \frac{1}{2}

Solution steps

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

Use the following trivial identity:

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

Use the following trivial identity:

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

Use the following trivial identity:

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

Use the following trivial identity:

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

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

Simplify

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

= - \frac{1}{2}

3.6 tan (5 8^{\circ})

tan (11 6^{\circ})

arccos (- 0.3)

15 cos (2 5^{\circ})

\frac{π}{4} sin (\frac{π}{4})

What is the value of sin(30)cos(60)-cos(30)sin(60) ?
The value of sin(30)cos(60)-cos(30)sin(60) is -1/2