Solve sin28^circ/cos62^circ

$$\frac { \sin 28 ^ { \circ } } { \cos 62 ^ { \circ } }$$

Evaluate

$$\frac{23473578139294540}{23473578139294543}\approx 1$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.4694715627858908}{0.46947156278589086}$$

Expand \frac{0.4694715627858908}{0.46947156278589086} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{46947156278589080}{46947156278589086}$$

Reduce the fraction \frac{46947156278589080}{46947156278589086} to lowest terms by extracting and canceling out 2.

$$\frac{23473578139294540}{23473578139294543}$$

Factor

$$\frac{5 \cdot 1657 \cdot 214069 \cdot 3308819 \cdot 2 ^ {2}}{13 \cdot 96233 \cdot 18763416467} = 0.9999999999999998$$