Solve cos17^circ+sin17^circ/cos17^circ-sin17^circ

$$\frac { \cos 17 ^ { \circ } + \sin 17 ^ { \circ } } { \cos 17 ^ { \circ } - \sin 17 ^ { \circ } }$$

Evaluate

$$\frac{124867646068577217}{66393305124029863}\approx 1.880726465$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.9563047559630354 + 0.29237170472273677}{0.9563047559630354 - 0.29237170472273677}$$

Add 0.9563047559630354 and 0.29237170472273677 to get 1.24867646068577217.

$$\frac{1.24867646068577217}{0.9563047559630354-0.29237170472273677}$$

Subtract 0.29237170472273677 from 0.9563047559630354 to get 0.66393305124029863.

$$\frac{1.24867646068577217}{0.66393305124029863}$$

Expand \frac{1.24867646068577217}{0.66393305124029863} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{124867646068577217}{66393305124029863}$$

Factor

$$\frac{3 \cdot 13 \cdot 367 \cdot 4241 \cdot 2057079049}{17 \cdot 41 \cdot 101 \cdot 27691 \cdot 695081 \cdot 7 ^ {2}} = 1\frac{58474340944547350}{66393305124029864} = 1.8807264653463323$$