Solve 2*1/1200*10^6*sin20^circ

$$2 \cdot \frac { 1 } { 1200 } \times 10 ^ { 6 } \times \sin 20 ^ { \circ }$$

Evaluate

$$\frac{3420201433256687}{6000000000000}\approx 570.033572209$$

Solution Steps

Evaluate trigonometric functions in the problem

$$2 \cdot \frac{1}{1200} \cdot 10 ^ {6} \cdot 0.3420201433256687$$

Multiply 2 and \frac{1}{1200} to get \frac{2}{1200}.

$$\frac{2}{1200}\times 10^{6}\times 0.3420201433256687$$

Reduce the fraction \frac{2}{1200} to lowest terms by extracting and canceling out 2.

$$\frac{1}{600}\times 10^{6}\times 0.3420201433256687$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{1}{600}\times 1000000\times 0.3420201433256687$$

Multiply \frac{1}{600} and 1000000 to get \frac{1000000}{600}.

$$\frac{1000000}{600}\times 0.3420201433256687$$

Reduce the fraction \frac{1000000}{600} to lowest terms by extracting and canceling out 200.

$$\frac{5000}{3}\times 0.3420201433256687$$

Convert decimal number 0.3420201433256687 to fraction \frac{3420201433256687}{10000000000}. Reduce the fraction \frac{3420201433256687}{10000000000} to lowest terms by extracting and canceling out 1.

$$\frac{5000}{3}\times \frac{3420201433256687}{10000000000000000}$$

Multiply \frac{5000}{3} times \frac{3420201433256687}{10000000000000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5000\times 3420201433256687}{3\times 10000000000000000}$$

Do the multiplications in the fraction \frac{5000\times 3420201433256687}{3\times 10000000000000000}.

$$\frac{17101007166283435000}{30000000000000000}$$

Reduce the fraction \frac{17101007166283435000}{30000000000000000} to lowest terms by extracting and canceling out 5000.

$$\frac{3420201433256687}{6000000000000}$$

Factor

$$\frac{179 \cdot 25693 \cdot 743676121}{3 \cdot 2 ^ {13} \cdot 5 ^ {12}} = 570\frac{201433256687}{6000000000000} = 570.0335722094478$$