Solve (sin360^circ+1/2cos180^circ)operatorname{ctg}90^circ

$$( \sin 360 ^ { \circ } + \frac { 1 } { 2 } \cos 180 ^ { \circ } ) \operatorname { ctg } 90 ^ { \circ }$$

Evaluate

$$0$$

Solution Steps

Get the value of \sin(360) from trigonometric values table.

$$\left(0+\frac{1}{2}\cos(180)\right)\cot(90)$$

Get the value of \cos(180) from trigonometric values table.

$$\left(0+\frac{1}{2}\left(-1\right)\right)\cot(90)$$

Multiply \frac{1}{2} and -1 to get -\frac{1}{2}.

$$\left(0-\frac{1}{2}\right)\cot(90)$$

Subtract \frac{1}{2} from 0 to get -\frac{1}{2}.

$$-\frac{1}{2}\cot(90)$$

Get the value of \cot(90) from trigonometric values table.

$$-\frac{1}{2}\times 0$$

Multiply -\frac{1}{2} and 0 to get 0.

$$0$$