Solve 1003120+frac{sqrt{5}}{8}sin30

$$1003120 + \frac { \sqrt { 5 } } { 8 } \sin 30$$

Evaluate

$$\frac{\sqrt{5}}{16}+1003120\approx 1003120.139754249$$

Short Solution Steps

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

$$1003120+\frac{\sqrt{5}}{8}\times \frac{1}{2}$$

Multiply \frac{\sqrt{5}}{8} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$1003120+\frac{\sqrt{5}}{8\times 2}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 1003120 times \frac{8\times 2}{8\times 2}.

$$\frac{1003120\times 8\times 2}{8\times 2}+\frac{\sqrt{5}}{8\times 2}$$

Since \frac{1003120\times 8\times 2}{8\times 2} and \frac{\sqrt{5}}{8\times 2} have the same denominator, add them by adding their numerators.

$$\frac{1003120\times 8\times 2+\sqrt{5}}{8\times 2}$$

Do the multiplications in 1003120\times 8\times 2+\sqrt{5}.

$$\frac{16049920+\sqrt{5}}{8\times 2}$$

Expand 8\times 2.

$$\frac{16049920+\sqrt{5}}{16}$$