Solve tan(30)*sin(45)

$$\tan ( 30 ) \times \sin ( 45 )$$

Evaluate

$$\frac{\sqrt{6}}{6}\approx 0.40824829$$

Solution Steps

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

$$\frac{\sqrt{3}}{3}\sin(45)$$

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

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

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

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

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

$$\frac{\sqrt{6}}{3\times 2}$$

Multiply 3 and 2 to get 6.

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