Solve 2cos(2)/2sin(2)

$$\frac{ 2 \cos ( 2 ) }{ 2 \sin ( 2 ) }$$

Evaluate

$$\frac{99939082701909580}{3489949670250097}\approx 28.636253283$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{2 \cdot 0.9993908270190958}{2 \cdot 0.03489949670250097}$$

Cancel out 2 in both numerator and denominator.

$$\frac{0.9993908270190958}{0.03489949670250097}$$

Expand \frac{0.9993908270190958}{0.03489949670250097} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{99939082701909580}{3489949670250097}$$

Factor

$$\frac{5 \cdot 4996954135095479 \cdot 2 ^ {2}}{119533 \cdot 124819 \cdot 233911} = 28\frac{2220491934906868}{3489949670250097} = 28.636253282915607$$