Solve {l}{3(cos30}{-sin30)}

$$\left. \begin{array} { l } { 3 ( \cos 30 } \\ { - \sin 30 ) } \end{array} \right.$$

Evaluate

$$\frac{3\left(\sqrt{3}-1\right)}{2}\approx 1.098076211$$

Solution Steps

Get the value of \cos(30) from trigonometric values table.

$$3\left(\frac{\sqrt{3}}{2}-\sin(30)\right)$$

Get the value of \sin(30) from trigonometric values table.

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

Since \frac{\sqrt{3}}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$3\times \frac{\sqrt{3}-1}{2}$$

Express 3\times \frac{\sqrt{3}-1}{2} as a single fraction.

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

Use the distributive property to multiply 3 by \sqrt{3}-1.

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