Solve sin215^circ+cos125^circ/tan325^circ-cot235^circ

$$\frac { \sin 215 ^ { \circ } + \cos 125 ^ { \circ } } { \tan 325 ^ { \circ } - \cot 235 ^ { \circ } }$$

Evaluate

$$\frac{11471528727020916}{14004150764194207}\approx 0.819152044$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{-0.5735764363510458 + -0.5735764363510458}{-0.7002075382097104 - 0.7002075382097103}$$

Subtract 0.5735764363510458 from -0.5735764363510458 to get -1.1471528727020916.

$$\frac{-1.1471528727020916}{-0.7002075382097104-0.7002075382097103}$$

Subtract 0.7002075382097103 from -0.7002075382097104 to get -1.4004150764194207.

$$\frac{-1.1471528727020916}{-1.4004150764194207}$$

Expand \frac{-1.1471528727020916}{-1.4004150764194207} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{-11471528727020916}{-14004150764194207}$$

Fraction \frac{-11471528727020916}{-14004150764194207} can be simplified to \frac{11471528727020916}{14004150764194207} by removing the negative sign from both the numerator and the denominator.

$$\frac{11471528727020916}{14004150764194207}$$

Factor

$$\frac{41 \cdot 2590679477647 \cdot 2 ^ {2} \cdot 3 ^ {3}}{32749 \cdot 427620714043} = 0.8191520442889907$$