Solve {l}{sin30^circ}{+cos45^circ}

$$\left. \begin{array} { l } { \sin 30 ^ { \circ } } \\ { + \cos 45 ^ { \circ } } \end{array} \right.$$

Evaluate

$$\frac{\sqrt{2}+1}{2}\approx 1.207106781$$

Solution Steps

Get the value of \sin(30) from trigonometric values table.

$$\frac{1}{2}+\cos(45)$$

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

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

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

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