Solve sin(45)-4

$$\sin ( 45 ) -4$$

Evaluate

$$\frac{\sqrt{2}}{2}-4\approx -3.292893219$$

Short Solution Steps

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

$$\frac{\sqrt{2}}{2}-4$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 4 times \frac{2}{2}.

$$\frac{\sqrt{2}}{2}-\frac{4\times 2}{2}$$

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

$$\frac{\sqrt{2}-4\times 2}{2}$$

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

$$\frac{\sqrt{2}-8}{2}$$