Solve tan23^circ+tan37^circ+sqrt{3}tan23^circtan37^circ

$$\tan 23 ^ { \circ } + \tan 37 ^ { \circ } + \sqrt { 3 } \tan 23 ^ { \circ } \tan 37 ^ { \circ }$$

Evaluate

$$\frac{15993235846069340986822417372637\sqrt{3}}{50000000000000000000000000000000}+1.1780288663123989\approx 1.732050808$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.4244748162096047 + 0.7535540501027942 + \sqrt{3} 0.4244748162096047 \cdot 0.7535540501027942$$

Add 0.4244748162096047 and 0.7535540501027942 to get 1.1780288663123989.

$$1.1780288663123989+0.4244748162096047\times 0.7535540501027942\sqrt{3}$$

Multiply 0.4244748162096047 and 0.7535540501027942 to get 0.31986471692138681973644834745274.

$$1.1780288663123989+0.31986471692138681973644834745274\sqrt{3}$$