Solve tan45^circ+cot60^circ

$$\tan 45 ^ { \circ } + \cot 60 ^ { \circ }$$

Evaluate

$$\frac{\sqrt{3}}{3}+1\approx 1.577350269$$

Solution Steps

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

$$1+\cot(60)$$

Get the value of \cot(60) from trigonometric values table.

$$1+\frac{\sqrt{3}}{3}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{3}{3}.

$$\frac{3}{3}+\frac{\sqrt{3}}{3}$$

Since \frac{3}{3} and \frac{\sqrt{3}}{3} have the same denominator, add them by adding their numerators.

$$\frac{3+\sqrt{3}}{3}$$