Solve sin60^circ*tan30^circ-sqrt{3}cos30^circ=

$$\sin 60 ^ { \circ } \times \tan 30 ^ { \circ } - \sqrt { 3 } \cos 30 ^ { \circ } =$$

Evaluate

$$-0.931567144426787$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.568432855573213 - \sqrt{3} \cos(30)$$

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

$$0.568432855573213-\sqrt{3}\times \frac{\sqrt{3}}{2}$$

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

$$0.568432855573213-\frac{\sqrt{3}\sqrt{3}}{2}$$

Multiply \sqrt{3} and \sqrt{3} to get 3.

$$0.568432855573213-\frac{3}{2}$$

Subtract \frac{3}{2} from 0.568432855573213 to get -\frac{931567144426787}{1000000000000000}.

$$-\frac{931567144426787}{1000000000000000}$$