Solve cos^-1(38^2+64^2-51^2/2(38)(64))

$$\cos ^ { - 1 } ( \frac { 38 ^ { 2 } + 64 ^ { 2 } - 51 ^ { 2 } } { 2 ( 38 ) ( 64 ) } )$$

Evaluate

$$\frac{10000000000000000}{9999443925789279}\approx 1.000055611$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.9999443925789279 ^ {-1}$$

Calculate 0.9999443925789279 to the power of -1 and get \frac{10000000000000000}{9999443925789279}.

$$\frac{10000000000000000}{9999443925789279}$$

Factor

$$\frac{2 ^ {16} \cdot 5 ^ {16}}{3 \cdot 19722769084397 \cdot 13 ^ {2}} = 1\frac{556074210720}{9999443925789280} = 1.0000556105134293$$