Solve 2cos30^circ-3operatorname{ctg}45^circ+sin0

$$2 \cos 30 ^ { \circ } - 3 \operatorname { ctg } 45 ^ { \circ } + \sin 0$$

Evaluate

$$\sqrt{3}-3\approx -1.267949192$$

Solution Steps

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

$$2\times \frac{\sqrt{3}}{2}-3\cot(45)+\sin(0)$$

Cancel out 2 and 2.

$$\sqrt{3}-3\cot(45)+\sin(0)$$

Get the value of \cot(45) from trigonometric values table.

$$\sqrt{3}-3\times 1+\sin(0)$$

Multiply 3 and 1 to get 3.

$$\sqrt{3}-3+\sin(0)$$

Get the value of \sin(0) from trigonometric values table.

$$\sqrt{3}-3+0$$

Add -3 and 0 to get -3.

$$\sqrt{3}-3$$