Solve sin60^circ+1/cos60^circ

$$\sin 60 ^ { \circ } + \frac { 1 } { \cos 60 ^ { \circ } }$$

Evaluate

$$\frac{\sqrt{3}}{2}+2\approx 2.866025404$$

Short Solution Steps

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

$$\frac{\sqrt{3}}{2}+\frac{1}{\cos(60)}$$

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

$$\frac{\sqrt{3}}{2}+\frac{1}{\frac{1}{2}}$$

Divide 1 by \frac{1}{2} by multiplying 1 by the reciprocal of \frac{1}{2}.

$$\frac{\sqrt{3}}{2}+1\times 2$$

Multiply 1 and 2 to get 2.

$$\frac{\sqrt{3}}{2}+2$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{2}{2}.

$$\frac{\sqrt{3}}{2}+\frac{2\times 2}{2}$$

Since \frac{\sqrt{3}}{2} and \frac{2\times 2}{2} have the same denominator, add them by adding their numerators.

$$\frac{\sqrt{3}+2\times 2}{2}$$

Do the multiplications in \sqrt{3}+2\times 2.

$$\frac{\sqrt{3}+4}{2}$$