Solve 4sin(45-12)/cos(12)

$$\frac{ 4 \sin ( 45-12 ) }{ \cos ( 12 ) }$$

Evaluate

$$\frac{21785561400601084}{9781476007338057}\approx 2.22722638$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{4 \cdot 0.5446390350150271}{0.9781476007338057}$$

Multiply 4 and 0.5446390350150271 to get 2.1785561400601084.

$$\frac{2.1785561400601084}{0.9781476007338057}$$

Expand \frac{2.1785561400601084}{0.9781476007338057} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{21785561400601084}{9781476007338057}$$

Factor

$$\frac{53 \cdot 7331 \cdot 14017471297 \cdot 2 ^ {2}}{3 \cdot 11 \cdot 17 \cdot 19 \cdot 101 \cdot 673 \cdot 13500551} = 2\frac{2222609385924972}{9781476007338056} = 2.2272263801759133$$