Solve 2sin(pi/6)-sin(2pi/6)

$$2 \sin ( \frac{ \pi }{ 6 } ) - \sin ( 2 \frac{ \pi }{ 6 } )$$

Evaluate

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

Short Solution Steps

Get the value of \sin(\frac{\pi }{6}) from trigonometric values table.

$$2\times \frac{1}{2}-\sin(2\times \frac{\pi }{6})$$

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

$$1-\sin(2\times \frac{\pi }{6})$$

Cancel out 6, the greatest common factor in 2 and 6.

$$1-\sin(\frac{\pi }{3})$$

Get the value of \sin(\frac{\pi }{3}) 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.

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