Solve cos(30)*tan(30)

$$\cos ( 30 ) \times \tan ( 30 )$$

Evaluate

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

Solution Steps

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

$$\frac{\sqrt{3}}{2}\tan(30)$$

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

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

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

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

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

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

Multiply 2 and 3 to get 6.

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

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

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