Solve sin(45^circ)*tan(60^circ)

$$\sin ( 45 ^ { \circ } ) \times \tan ( 60 ^ { \circ } )$$

Evaluate

$$\frac{\sqrt{6}}{2}\approx 1.224744871$$

Solution Steps

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

$$\frac{\sqrt{2}}{2}\tan(60)$$

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

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

Express \frac{\sqrt{2}}{2}\sqrt{3} as a single fraction.

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

To multiply \sqrt{2} and \sqrt{3}, multiply the numbers under the square root.

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