Solve 3/tanfrac{11{4}}

$$\frac { 3 } { \tan \frac { 11 } { 4 } }$$

Evaluate

$$\frac{1500000000000000000}{24016722242593727}\approx 62.456482814$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{3}{0.048033444485187454}$$

Expand \frac{3}{0.048033444485187454} by multiplying both numerator and the denominator by 1000000000000000000.

$$\frac{3000000000000000000}{48033444485187454}$$

Reduce the fraction \frac{3000000000000000000}{48033444485187454} to lowest terms by extracting and canceling out 2.

$$\frac{1500000000000000000}{24016722242593727}$$

Factor

$$\frac{3 \cdot 2 ^ {17} \cdot 5 ^ {18}}{61 \cdot 79 \cdot 24421 \cdot 204076673} = 62\frac{10963220959188864}{24016722242593730} = 62.45648281428452$$