Solve {left(tan(frac{sqrt{1-0.6^2}}{0.6})right)}^-1

$${ \left( \tan ( \frac{ \sqrt{ 1- { 0.6 }^{ 2 } } }{ 0.6 } ) \right) }^{ -1 }$$

Evaluate

$$\frac{2500000000000000}{58188145888891}\approx 42.964077336$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.0232752583555564 ^ {-1}$$

Calculate 0.0232752583555564 to the power of -1 and get \frac{2500000000000000}{58188145888891}.

$$\frac{2500000000000000}{58188145888891}$$

Factor

$$\frac{2 ^ {14} \cdot 5 ^ {16}}{1889 \cdot 30803677019} = 42\frac{56097872666578}{58188145888891} = 42.964077335849396$$