Solve 13/cos(10^circ)

$$\frac{ 13 }{ \cos ( 10 ^ { \circ } ) }$$

Evaluate

$$\frac{812500000000000}{61550484563263}\approx 13.200545955$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{13}{0.984807753012208}$$

Expand \frac{13}{0.984807753012208} by multiplying both numerator and the denominator by 1000000000000000.

$$\frac{13000000000000000}{984807753012208}$$

Reduce the fraction \frac{13000000000000000}{984807753012208} to lowest terms by extracting and canceling out 16.

$$\frac{812500000000000}{61550484563263}$$

Factor

$$\frac{13 \cdot 2 ^ {11} \cdot 5 ^ {15}}{443 \cdot 2399 \cdot 57915859} = 13\frac{12343700677581}{61550484563263} = 13.200545954514686$$