Solve tan48^circ+tan72^circ/1-tan48^circtan72^circ=

$$\frac { \tan 48 ^ { \circ } + \tan 72 ^ { \circ } } { 1 - \tan 48 ^ { \circ } \tan 72 ^ { \circ } } =$$

Evaluate

$$-\frac{52353700650055568750000000000000}{30226423163382661117956745962757}\approx -1.732050808$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{1.1106125148291928 + 3.0776835371752527}{1 - 1.1106125148291928 \cdot 3.0776835371752527}$$

Add 1.1106125148291928 and 3.0776835371752527 to get 4.1882960520044455.

$$\frac{4.1882960520044455}{1-1.1106125148291928\times 3.0776835371752527}$$

Multiply 1.1106125148291928 and 3.0776835371752527 to get 3.41811385307061288943653967702056.

$$\frac{4.1882960520044455}{1-3.41811385307061288943653967702056}$$

Subtract 3.41811385307061288943653967702056 from 1 to get -2.41811385307061288943653967702056.

$$\frac{4.1882960520044455}{-2.41811385307061288943653967702056}$$

Expand \frac{4.1882960520044455}{-2.41811385307061288943653967702056} by multiplying both numerator and the denominator by 100000000000000000000000000000000.

$$\frac{418829605200444550000000000000000}{-241811385307061288943653967702056}$$

Reduce the fraction \frac{418829605200444550000000000000000}{-241811385307061288943653967702056} to lowest terms by extracting and canceling out 8.

$$-\frac{52353700650055568750000000000000}{30226423163382661117956745962757}$$