Solve tan23^circ+tan22^circ/1-tan23^circ*tan22^circ

$$\frac { \tan 23 ^ { \circ } + \tan 22 ^ { \circ } } { 1 - \tan 23 ^ { \circ } \cdot \tan 22 ^ { \circ } }$$

Evaluate

$$\frac{41425052102238075}{41818813882420358}\approx 0.9905841$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.4244748162096047 + 0.4040262258351568}{1 - 0.16362372235159284}$$

Add 0.4244748162096047 and 0.4040262258351568 to get 0.8285010420447615.

$$\frac{0.8285010420447615}{1-0.16362372235159284}$$

Subtract 0.16362372235159284 from 1 to get 0.83637627764840716.

$$\frac{0.8285010420447615}{0.83637627764840716}$$

Expand \frac{0.8285010420447615}{0.83637627764840716} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{82850104204476150}{83637627764840716}$$

Reduce the fraction \frac{82850104204476150}{83637627764840716} to lowest terms by extracting and canceling out 2.

$$\frac{41425052102238075}{41818813882420358}$$

Factor

$$\frac{3 \cdot 552334028029841 \cdot 5 ^ {2}}{2 \cdot 7 \cdot 89 \cdot 33562450948973} = 0.9905840997477976$$