Solve cos^-1sqrt{187*1^2/198*5^2}

$$\cos ^ { - 1 } \sqrt { \frac { 187 \cdot 1 ^ { 2 } } { 198 \cdot 5 ^ { 2 } } }$$

Evaluate

$$\frac{10000000000000000}{9999942461209219}\approx 1.000005754$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.9999942461209219 ^ {-1}$$

Calculate 0.9999942461209219 to the power of -1 and get \frac{10000000000000000}{9999942461209219}.

$$\frac{10000000000000000}{9999942461209219}$$

Factor

$$\frac{2 ^ {16} \cdot 5 ^ {16}}{37199 \cdot 268822883981} = 1\frac{57538790780}{9999942461209220} = 1.0000057539121854$$