Solve 2cos40-cos20/sin20^circ=

$$\frac { 2 \cos 40 - \cos 20 } { \sin 20 ^ { \circ } } =$$

Evaluate

$$\frac{5923962654520476}{3420201433256687}\approx 1.732050808$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{2 \cdot 0.766044443118978 - 0.9396926207859084}{0.3420201433256687}$$

Multiply 2 and 0.766044443118978 to get 1.532088886237956.

$$\frac{1.532088886237956-0.9396926207859084}{0.3420201433256687}$$

Subtract 0.9396926207859084 from 1.532088886237956 to get 0.5923962654520476.

$$\frac{0.5923962654520476}{0.3420201433256687}$$

Expand \frac{0.5923962654520476}{0.3420201433256687} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{5923962654520476}{3420201433256687}$$

Factor

$$\frac{3 \cdot 2563543 \cdot 192570811 \cdot 2 ^ {2}}{179 \cdot 25693 \cdot 743676121} = 1\frac{2503761221263789}{3420201433256687} = 1.7320508075688772$$