Solve tan(30^circ)*sin(60^circ)

$$\tan ( 30 ^ { \circ } ) \times \sin ( 60 ^ { \circ } )$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Get the value of \tan(30) from trigonometric values table.

$$\frac{\sqrt{3}}{3}\sin(60)$$

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

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

Multiply \frac{\sqrt{3}}{3} times \frac{\sqrt{3}}{2} by multiplying numerator times numerator and denominator times denominator.

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

Multiply \sqrt{3} and \sqrt{3} to get 3.

$$\frac{3}{3\times 2}$$

Multiply 3 and 2 to get 6.

$$\frac{3}{6}$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$\frac{1}{2}$$