Solve 0.7/tan20^circ

$$\frac { 0.7 } { \tan 20 ^ { \circ } }$$

Evaluate

$$\frac{5000000000000000}{2599787387615731}\approx 1.923234194$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.7}{0.36397023426620234}$$

Expand \frac{0.7}{0.36397023426620234} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{70000000000000000}{36397023426620234}$$

Reduce the fraction \frac{70000000000000000}{36397023426620234} to lowest terms by extracting and canceling out 14.

$$\frac{5000000000000000}{2599787387615731}$$

Factor

$$\frac{2 ^ {15} \cdot 5 ^ {16}}{43 \cdot 60460171805017} = 1\frac{2400212612384269}{2599787387615731} = 1.9232341936182358$$