Solve {l}{cos60^circ}{+sin60^circ}

$$\left. \begin{array} { l } { \cos 60 ^ { \circ } } \\ { + \sin 60 ^ { \circ } } \end{array} \right.$$

Evaluate

$$\frac{\sqrt{3}+1}{2}\approx 1.366025404$$

Solution Steps

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

$$\frac{1}{2}+\sin(60)$$

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

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

Since \frac{1}{2} and \frac{\sqrt{3}}{2} have the same denominator, add them by adding their numerators.

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