Solve 1-2sin(30)cos(30)

$$1-2 \sin ( 30 ) \cos ( 30 )$$

Evaluate

$$-\frac{\sqrt{3}}{2}+1\approx 0.133974596$$

Short Solution Steps

Get the value of \sin(30) from trigonometric values table.

$$1-2\times \frac{1}{2}\cos(30)$$

Multiply 2 and \frac{1}{2} to get 1.

$$1-\cos(30)$$

Get the value of \cos(30) from trigonometric values table.

$$1-\frac{\sqrt{3}}{2}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{2}{2}.

$$\frac{2}{2}-\frac{\sqrt{3}}{2}$$

Since \frac{2}{2} and \frac{\sqrt{3}}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-\sqrt{3}}{2}$$