Solve 12/tan(20^circ)

$$\frac{ 12 }{ \tan ( 20 ^ { \circ } ) }$$

Evaluate

$$\frac{600000000000000000}{18198511713310117}\approx 32.969729033$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{12}{0.36397023426620234}$$

Expand \frac{12}{0.36397023426620234} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{1200000000000000000}{36397023426620234}$$

Reduce the fraction \frac{1200000000000000000}{36397023426620234} to lowest terms by extracting and canceling out 2.

$$\frac{600000000000000000}{18198511713310117}$$

Factor

$$\frac{3 \cdot 2 ^ {18} \cdot 5 ^ {17}}{7 \cdot 43 \cdot 60460171805017} = 32\frac{17647625174076288}{18198511713310116} = 32.96972903345547$$