Solve tan^-11+tan^-12+tan^-13=

$$\tan ^ { - 1 } 1 + \tan ^ { - 1 } 2 + \tan ^ { - 1 } 3 =$$

Evaluate

$$\frac{16772227344342153274434047029743950000000000000000}{159724315379438832581293164924824060293778755659}\approx 105.007351601$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.017455064928217585 ^ {-1} + 0.03492076949174773 ^ {-1} + 0.052407779283041196 ^ {-1}$$

Calculate 0.017455064928217585 to the power of -1 and get \frac{200000000000000000}{3491012985643517}.

$$\frac{200000000000000000}{3491012985643517}+0.03492076949174773^{-1}+0.052407779283041196^{-1}$$

Calculate 0.03492076949174773 to the power of -1 and get \frac{100000000000000000}{3492076949174773}.

$$\frac{200000000000000000}{3491012985643517}+\frac{100000000000000000}{3492076949174773}+0.052407779283041196^{-1}$$

Add \frac{200000000000000000}{3491012985643517} and \frac{100000000000000000}{3492076949174773} to get \frac{1047516688399306300000000000000000}{12190885976435528459529507396641}.

$$\frac{1047516688399306300000000000000000}{12190885976435528459529507396641}+0.052407779283041196^{-1}$$

Calculate 0.052407779283041196 to the power of -1 and get \frac{250000000000000000}{13101944820760299}.

$$\frac{1047516688399306300000000000000000}{12190885976435528459529507396641}+\frac{250000000000000000}{13101944820760299}$$

Add \frac{1047516688399306300000000000000000}{12190885976435528459529507396641} and \frac{250000000000000000}{13101944820760299} to get \frac{16772227344342153274434047029743950000000000000000}{159724315379438832581293164924824060293778755659}.

$$\frac{16772227344342153274434047029743950000000000000000}{159724315379438832581293164924824060293778755659}$$