Solve 1/sin(3sqrt{3/8)}

$$\frac{ 1 }{ \sin ( \frac{ 3 \sqrt{ 3 } }{ 8 } ) }$$

Evaluate

$$\frac{250000000000000000}{2834000805908087}\approx 88.21451267$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{1}{0.011336003223632348}$$

Expand \frac{1}{0.011336003223632348} by multiplying both numerator and the denominator by 1000000000000000000.

$$\frac{1000000000000000000}{11336003223632348}$$

Reduce the fraction \frac{1000000000000000000}{11336003223632348} to lowest terms by extracting and canceling out 4.

$$\frac{250000000000000000}{2834000805908087}$$

Factor

$$\frac{2 ^ {16} \cdot 5 ^ {18}}{41 \cdot 83 \cdot 139 \cdot 5991329711} = 88\frac{607929080088344}{2834000805908087} = 88.21451267015203$$