Solve 1/tan(frac{1{3})}

$$\frac{ 1 }{ \tan ( \frac{ 1 }{ 3 } ) }$$

Evaluate

$$\frac{62500000000000000}{363614363184709}\approx 171.88539928$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{1}{0.005817829810955344}$$

Expand \frac{1}{0.005817829810955344} by multiplying both numerator and the denominator by 1000000000000000000.

$$\frac{1000000000000000000}{5817829810955344}$$

Reduce the fraction \frac{1000000000000000000}{5817829810955344} to lowest terms by extracting and canceling out 16.

$$\frac{62500000000000000}{363614363184709}$$

Factor

$$\frac{2 ^ {14} \cdot 5 ^ {18}}{7 \cdot 13 \cdot 991 \cdot 4032050689} = 171\frac{321943895414761}{363614363184709} = 171.88539928014674$$