Solve cos(2pi/3-pi/)

$$\cos ( \frac{ 2 \pi }{ 3 } - \frac{ \pi }{ } )$$

Evaluate

$$\frac{1}{2}=0.5$$

Short Solution Steps

Anything divided by one gives itself.

$$\cos(\frac{2\pi }{3}-\pi )$$

To add or subtract expressions, expand them to make their denominators the same. Multiply \pi times \frac{3}{3}.

$$\cos(\frac{2\pi }{3}-\frac{3\pi }{3})$$

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

$$\cos(\frac{2\pi -3\pi }{3})$$

Combine like terms in 2\pi -3\pi .

$$\cos(\frac{-\pi }{3})$$

Use the property \cos(-x)=\cos(x).

$$\cos(-\frac{-\pi }{3})$$

Get the value of \cos(-\frac{-\pi }{3}) from trigonometric values table.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$