Solve 2.5/tan36^circ

$$\frac { 2.5 } { \tan 36 ^ { \circ } }$$

Evaluate

$$\frac{3125000000000000}{908178160006701}\approx 3.440954801$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{2.5}{0.7265425280053608}$$

Expand \frac{2.5}{0.7265425280053608} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{25000000000000000}{7265425280053608}$$

Reduce the fraction \frac{25000000000000000}{7265425280053608} to lowest terms by extracting and canceling out 8.

$$\frac{3125000000000000}{908178160006701}$$

Factor

$$\frac{2 ^ {12} \cdot 5 ^ {17}}{100908684445189 \cdot 3 ^ {2}} = 3\frac{400465519979897}{908178160006701} = 3.4409548011779343$$