Solve (tan0^circ-1/3sin270)^frac{1{2}}

$$( \tan 0 ^ { \circ } - \frac { 1 } { 3 } \sin 270 ) ^ { \frac { 1 } { 2 } }$$

Evaluate

$$\frac{\sqrt{3}}{3}\approx 0.577350269$$

Solution Steps

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

$$\left(0-\frac{1}{3}\sin(270)\right)^{\frac{1}{2}}$$

Get the value of \sin(270) from trigonometric values table.

$$\left(0-\frac{1}{3}\left(-1\right)\right)^{\frac{1}{2}}$$

Multiply \frac{1}{3} and -1 to get -\frac{1}{3}.

$$\left(0-\left(-\frac{1}{3}\right)\right)^{\frac{1}{2}}$$

The opposite of -\frac{1}{3} is \frac{1}{3}.

$$\left(0+\frac{1}{3}\right)^{\frac{1}{2}}$$

Add 0 and \frac{1}{3} to get \frac{1}{3}.

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