Solve sinpi/2+cospi/6=

$$\sin \pi / 2 + \cos \pi / 6 =$$

Evaluate

$$\frac{\sqrt{3}}{2}+1\approx 1.866025404$$

Solution Steps

Get the value of \sin(\frac{\pi }{2}) from trigonometric values table.

$$1+\cos(\frac{\pi }{6})$$

Get the value of \cos(\frac{\pi }{6}) from trigonometric values table.

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

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{2}{2}.

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

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

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