Solve sin(45^circ)tan(45^circ)-cos(60^circ)=

$$\sin ( 45 ^ { \circ } ) \tan ( 45 ^ { \circ } ) - \cos ( 60 ^ { \circ } ) =$$

Evaluate

$$\frac{\sqrt{2}-1}{2}\approx 0.207106781$$

Solution Steps

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

$$\frac{\sqrt{2}}{2}\tan(45)-\cos(60)$$

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

$$\frac{\sqrt{2}}{2}\times 1-\cos(60)$$

Express \frac{\sqrt{2}}{2}\times 1 as a single fraction.

$$\frac{\sqrt{2}}{2}-\cos(60)$$

Get the value of \cos(60) from trigonometric values table.

$$\frac{\sqrt{2}}{2}-\frac{1}{2}$$

Since \frac{\sqrt{2}}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\sqrt{2}-1}{2}$$