Solve 30+cos(45)

$$30+ \cos ( 45 )$$

Evaluate

$$\frac{\sqrt{2}}{2}+30\approx 30.707106781$$

Short Solution Steps

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

$$30+\frac{\sqrt{2}}{2}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 30 times \frac{2}{2}.

$$\frac{30\times 2}{2}+\frac{\sqrt{2}}{2}$$

Since \frac{30\times 2}{2} and \frac{\sqrt{2}}{2} have the same denominator, add them by adding their numerators.

$$\frac{30\times 2+\sqrt{2}}{2}$$

Do the multiplications in 30\times 2+\sqrt{2}.

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