Solve 2sin2pi(0,5/0,25-10/8)

$$2 \sin 2 \pi ( \frac { 0,5 } { 0,25 } - \frac { 10 } { 8 } )$$

Evaluate

$$0$$

Solution Steps

Get the value of \sin(2\pi ) from trigonometric values table.

$$2\times 0\left(\frac{0,5}{0,25}-\frac{10}{8}\right)$$

Multiply 2 and 0 to get 0.

$$0\left(\frac{0,5}{0,25}-\frac{10}{8}\right)$$

Expand \frac{0,5}{0,25} by multiplying both numerator and the denominator by 100.

$$0\left(\frac{50}{25}-\frac{10}{8}\right)$$

Divide 50 by 25 to get 2.

$$0\left(2-\frac{10}{8}\right)$$

Reduce the fraction \frac{10}{8} to lowest terms by extracting and canceling out 2.

$$0\left(2-\frac{5}{4}\right)$$

Subtract \frac{5}{4} from 2 to get \frac{3}{4}.

$$0\times \frac{3}{4}$$

Multiply 0 and \frac{3}{4} to get 0.

$$0$$

Factor

$$0$$