Solve {left(tan(2/3)right)}^-1=pi/2

$${ \left( \tan ( \frac{ 2 }{ 3 } ) \right) }^{ -1 } = \frac{ \pi }{ 2 }$$

Verify

Solution Steps

Evaluate trigonometric functions in the problem

$$0.011636053469084664 ^ {-1} = \frac{\pi}{2}$$

Multiply both sides of the equation by 2.

$$2\times 0.011636053469084664^{-1}=\pi$$

Calculate 0.011636053469084664 to the power of -1 and get \frac{125000000000000000}{1454506683635583}.

$$2\times \frac{125000000000000000}{1454506683635583}=\pi$$

Multiply 2 and \frac{125000000000000000}{1454506683635583} to get \frac{250000000000000000}{1454506683635583}.

$$\frac{250000000000000000}{1454506683635583}=\pi$$

Compare \frac{250000000000000000}{1454506683635583} and \pi .

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