Solve sin(0.33)/2*0.01*0.02

$$\frac { \sin ( 0.33 ) } { 2 } \times 0.01 \times 0.02$$

Evaluate

$$0.0000005759554687996558$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.005759554687996558}{2} \cdot 0.01 \cdot 0.02$$

Expand \frac{0.005759554687996558}{2} by multiplying both numerator and the denominator by 1000000000000000000.

$$\frac{5759554687996558}{2000000000000000000}\times 0.01\times 0.02$$

Reduce the fraction \frac{5759554687996558}{2000000000000000000} to lowest terms by extracting and canceling out 2.

$$\frac{2879777343998279}{1000000000000000000}\times 0.01\times 0.02$$

Convert decimal number 0.01 to fraction \frac{1}{100}.

$$\frac{2879777343998279}{1000000000000000000}\times \frac{1}{100}\times 0.02$$

Multiply \frac{2879777343998279}{1000000000000000000} times \frac{1}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2879777343998279\times 1}{1000000000000000000\times 100}\times 0.02$$

Do the multiplications in the fraction \frac{2879777343998279\times 1}{1000000000000000000\times 100}.

$$\frac{2879777343998279}{100000000000000000000}\times 0.02$$

Convert decimal number 0.02 to fraction \frac{2}{100}. Reduce the fraction \frac{2}{100} to lowest terms by extracting and canceling out 2.

$$\frac{2879777343998279}{100000000000000000000}\times \frac{1}{50}$$

Multiply \frac{2879777343998279}{100000000000000000000} times \frac{1}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2879777343998279\times 1}{100000000000000000000\times 50}$$

Do the multiplications in the fraction \frac{2879777343998279\times 1}{100000000000000000000\times 50}.

$$\frac{2879777343998279}{5000000000000000000000}$$

Factor

$$\frac{7207019 \cdot 399579541}{2 ^ {21} \cdot 5 ^ {22}} = 5.759554687996558 \times 10^{-7}$$