Solve sin45^circ/cos45^circ=

$$\frac { \sin 45 ^ { \circ } } { \cos 45 ^ { \circ } } =$$

Evaluate

$$1$$

Solution Steps

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

$$\frac{\frac{\sqrt{2}}{2}}{\cos(45)}$$

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

$$\frac{\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}}$$

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

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

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

$$1$$