Solve 60^{circ}+sin45^circ+sin30^circ)(sin90^circ-cos45^circ+0

$$60 ^ { \circ } + \sin 45 ^ { \circ } + \sin 30 ^ { \circ } ) ( \sin 90 ^ { \circ } - \cos 45 ^ { \circ } + 0$$

Evaluate

$$\frac{\sqrt{2}+121}{2}\approx 61.207106781$$

Solution Steps

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

$$60+\frac{\sqrt{2}}{2}+\sin(30)$$

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

$$60+\frac{\sqrt{2}}{2}+\frac{1}{2}$$

Add 60 and \frac{1}{2} to get \frac{121}{2}.

$$\frac{121}{2}+\frac{\sqrt{2}}{2}$$

Since \frac{121}{2} and \frac{\sqrt{2}}{2} have the same denominator, add them by adding their numerators.

$$\frac{121+\sqrt{2}}{2}$$