Solve -pi/2+2kpi

$$- \frac { \pi } { 2 } + 2 k \pi$$

Evaluate

$$2\pi k-\frac{\pi }{2}$$

Short Solution Steps

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

$$-\frac{\pi }{2}+\frac{2\times 2k\pi }{2}$$

Since -\frac{\pi }{2} and \frac{2\times 2k\pi }{2} have the same denominator, add them by adding their numerators.

$$\frac{-\pi +2\times 2k\pi }{2}$$

Do the multiplications in -\pi +2\times 2k\pi .

$$\frac{-\pi +4k\pi }{2}$$

Factor

$$\frac{\pi \left(4k-1\right)}{2}$$

Solution Steps

Factor out \frac{1}{2}.

$$\frac{-\pi +4k\pi }{2}$$

Consider -\pi +4k\pi . Factor out \pi .

$$\pi \left(-1+4k\right)$$

Rewrite the complete factored expression.

$$\frac{\pi \left(4k-1\right)}{2}$$