Solve 2sin68^circ/cos22^circ-2cot15^circ/tan75^circ-3

$$\frac { 2 \sin 68 ^ { \circ } } { \cos 22 ^ { \circ } } - \frac { 2 \cot 15 ^ { \circ } } { \tan 75 ^ { \circ } } - 3$$

Evaluate

$$-3$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{2 \cdot 0.9271838545667874}{0.9271838545667874} - \frac{2 \cdot 3.7320508075688776}{3.7320508075688776} - 3$$

Cancel out 0.9271838545667874 and 0.9271838545667874.

$$2-\frac{2\times 3.7320508075688776}{3.7320508075688776}-3$$

Cancel out 3.7320508075688776 and 3.7320508075688776.

$$2-2-3$$

Subtract 2 from 2 to get 0.

$$-3$$

Factor

$$-3$$