Solve sin88^circ/cos88^circ=

$$\frac { \sin 88 ^ { \circ } } { \cos 88 ^ { \circ } } =$$

Evaluate

$$\frac{24984770675477395}{872487417562527}\approx 28.636253283$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.9993908270190958}{0.03489949670250108}$$

Expand \frac{0.9993908270190958}{0.03489949670250108} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{99939082701909580}{3489949670250108}$$

Reduce the fraction \frac{99939082701909580}{3489949670250108} to lowest terms by extracting and canceling out 4.

$$\frac{24984770675477395}{872487417562527}$$

Factor

$$\frac{5 \cdot 4996954135095479}{3 \cdot 13 \cdot 71 \cdot 263 \cdot 1198065241} = 28\frac{555122983726640}{872487417562527} = 28.63625328291552$$