Solve cos(45)/3+4

$$\frac { \cos ( 45 ) } { 3 } + 4$$

Evaluate

$$\frac{\sqrt{2}}{6}+4\approx 4.23570226$$

Short Solution Steps

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

$$\frac{\frac{\sqrt{2}}{2}}{3}+4$$

Express \frac{\frac{\sqrt{2}}{2}}{3} as a single fraction.

$$\frac{\sqrt{2}}{2\times 3}+4$$

Multiply 2 and 3 to get 6.

$$\frac{\sqrt{2}}{6}+4$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 4 times \frac{6}{6}.

$$\frac{\sqrt{2}}{6}+\frac{4\times 6}{6}$$

Since \frac{\sqrt{2}}{6} and \frac{4\times 6}{6} have the same denominator, add them by adding their numerators.

$$\frac{\sqrt{2}+4\times 6}{6}$$

Do the multiplications in \sqrt{2}+4\times 6.

$$\frac{\sqrt{2}+24}{6}$$