Solve 2cos(pi)/left(3cos(pi)right)^2

$$\frac{ 2 \cos ( \pi ) }{ { \left(3 \cos ( \pi ) \right) }^{ 2 } }$$

Evaluate

$$-\frac{2}{9}\approx -0.222222222$$

Solution Steps

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

$$\frac{2\left(-1\right)}{\left(3\cos(\pi )\right)^{2}}$$

Multiply 2 and -1 to get -2.

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

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

$$\frac{-2}{\left(3\left(-1\right)\right)^{2}}$$

Multiply 3 and -1 to get -3.

$$\frac{-2}{\left(-3\right)^{2}}$$

Calculate -3 to the power of 2 and get 9.

$$\frac{-2}{9}$$

Fraction \frac{-2}{9} can be rewritten as -\frac{2}{9} by extracting the negative sign.

$$-\frac{2}{9}$$

Factor

$$-\frac{2}{9} = -0.2222222222222222$$