Solve -1/2+tan^-12/11+tan^-14/3=pi/2

$$\frac { - 1 } { 2 } + \tan ^ { - 1 } \frac { 2 } { 11 } + \tan ^ { - 1 } \frac { 4 } { 3 } = \frac { \pi } { 2 }$$

Verify

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{-1}{2} + 0.003173336564554377 ^ {-1} + 0.023275258355556393 ^ {-1} = \frac{\pi}{2}$$

Multiply both sides of the equation by 2.

$$-1+2\times 0.003173336564554377^{-1}+2\times 0.023275258355556393^{-1}=\pi$$

Calculate 0.003173336564554377 to the power of -1 and get \frac{1000000000000000000}{3173336564554377}.

$$-1+2\times \frac{1000000000000000000}{3173336564554377}+2\times 0.023275258355556393^{-1}=\pi$$

Multiply 2 and \frac{1000000000000000000}{3173336564554377} to get \frac{2000000000000000000}{3173336564554377}.

$$-1+\frac{2000000000000000000}{3173336564554377}+2\times 0.023275258355556393^{-1}=\pi$$

Add -1 and \frac{2000000000000000000}{3173336564554377} to get \frac{1996826663435445623}{3173336564554377}.

$$\frac{1996826663435445623}{3173336564554377}+2\times 0.023275258355556393^{-1}=\pi$$

Calculate 0.023275258355556393 to the power of -1 and get \frac{1000000000000000000}{23275258355556393}.

$$\frac{1996826663435445623}{3173336564554377}+2\times \frac{1000000000000000000}{23275258355556393}=\pi$$

Multiply 2 and \frac{1000000000000000000}{23275258355556393} to get \frac{2000000000000000000}{23275258355556393}.

$$\frac{1996826663435445623}{3173336564554377}+\frac{2000000000000000000}{23275258355556393}=\pi$$

Add \frac{1996826663435445623}{3173336564554377} and \frac{2000000000000000000}{23275258355556393} to get \frac{17607776537277467705875922687172613}{24620076129712294124077312827387}.

$$\frac{17607776537277467705875922687172613}{24620076129712294124077312827387}=\pi$$

Compare \frac{17607776537277467705875922687172613}{24620076129712294124077312827387} and \pi .

$$\text{false}$$