Solve frac{sqrt{3}tan(12^circ)-3}{2cos(24^circ)sin(12^circ)}

$$\frac{ \sqrt{ 3 } \tan ( 12 ^ { \circ } ) -3 }{ 2 \cos ( 24 ^ { \circ } ) \sin ( 12 ^ { \circ } ) }$$

Evaluate

$$\frac{106278280835011050000000000000000\sqrt{3}-1500000000000000000000000000000000}{189936780737356872209968538589379}\approx -6.92820323$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{\sqrt{3} 0.2125565616700221 - 3}{2 \cdot 0.9135454576426009 \cdot 0.20791169081775931}$$

Multiply 2 and 0.9135454576426009 to get 1.8270909152852018.

$$\frac{0.2125565616700221\sqrt{3}-3}{1.8270909152852018\times 0.20791169081775931}$$

Multiply 1.8270909152852018 and 0.20791169081775931 to get 0.379873561474713744419937077178758.

$$\frac{0.2125565616700221\sqrt{3}-3}{0.379873561474713744419937077178758}$$