Solve cos(45^circ)-3

$$\cos ( 45 ^ { \circ } ) -3$$

Evaluate

$$\frac{\sqrt{2}}{2}-3\approx -2.292893219$$

Short Solution Steps

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

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

To add or subtract expressions, expand them to make their denominators the same. Multiply 3 times \frac{2}{2}.

$$\frac{\sqrt{2}}{2}-\frac{3\times 2}{2}$$

Since \frac{\sqrt{2}}{2} and \frac{3\times 2}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\sqrt{2}-3\times 2}{2}$$

Do the multiplications in \sqrt{2}-3\times 2.

$$\frac{\sqrt{2}-6}{2}$$