Solve tan(190^circ)+cot(170^circ)/cot(50^circ)-cot(350^circ)

$$\frac{ \tan ( 190 ^ { \circ } ) + \cot ( 170 ^ { \circ } ) }{ \cot ( 50 ^ { \circ } ) - \cot ( 350 ^ { \circ } ) }$$

Evaluate

$$-\frac{54949548389092469}{65103814507949590}\approx -0.844029629$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.1763269807084651 + -5.671281819617712}{0.83909963117728 - -5.671281819617679}$$

Subtract 5.671281819617712 from 0.1763269807084651 to get -5.4949548389092469.

$$\frac{-5.4949548389092469}{0.83909963117728-\left(-5.671281819617679\right)}$$

The opposite of -5.671281819617679 is 5.671281819617679.

$$\frac{-5.4949548389092469}{0.83909963117728+5.671281819617679}$$

Add 0.83909963117728 and 5.671281819617679 to get 6.510381450794959.

$$\frac{-5.4949548389092469}{6.510381450794959}$$

Expand \frac{-5.4949548389092469}{6.510381450794959} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{-54949548389092469}{65103814507949590}$$

Fraction \frac{-54949548389092469}{65103814507949590} can be rewritten as -\frac{54949548389092469}{65103814507949590} by extracting the negative sign.

$$-\frac{54949548389092469}{65103814507949590}$$

Factor

$$-\frac{54949548389092469}{65103814507949590} = -0.8440296287459897$$