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

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

Evaluate

$$0$$

Solution Steps

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

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

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

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

Divide \frac{\sqrt{2}}{2} by \frac{\sqrt{2}}{2} by multiplying \frac{\sqrt{2}}{2} by the reciprocal of \frac{\sqrt{2}}{2}.

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

Cancel out 2\sqrt{2} in both numerator and denominator.

$$1-\tan(45)$$

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

$$1-1$$

Subtract 1 from 1 to get 0.

$$0$$