Solve 1.2^2/8(4.71-sin(4.71))

$$\frac{ { 1.2 }^{ 2 } }{ 8 } (4.71- \sin ( 4.71 ) )$$

Evaluate

$$0.8330197583844634644$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{{(1.2)} ^ {2}}{8} {(4.71 - 0.08211245341964742)}$$

Calculate 1.2 to the power of 2 and get 1.44.

$$\frac{1.44}{8}\left(4.71-0.08211245341964742\right)$$

Expand \frac{1.44}{8} by multiplying both numerator and the denominator by 100.

$$\frac{144}{800}\left(4.71-0.08211245341964742\right)$$

Reduce the fraction \frac{144}{800} to lowest terms by extracting and canceling out 16.

$$\frac{9}{50}\left(4.71-0.08211245341964742\right)$$

Subtract 0.08211245341964742 from 4.71 to get 4.62788754658035258.

$$\frac{9}{50}\times 4.62788754658035258$$

Convert decimal number 4.62788754658035258 to fraction \frac{231394377329017629}{10000000000}. Reduce the fraction \frac{231394377329017629}{10000000000} to lowest terms by extracting and canceling out 1.

$$\frac{9}{50}\times \frac{231394377329017629}{50000000000000000}$$

Multiply \frac{9}{50} times \frac{231394377329017629}{50000000000000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 231394377329017629}{50\times 50000000000000000}$$

Do the multiplications in the fraction \frac{9\times 231394377329017629}{50\times 50000000000000000}.

$$\frac{2082549395961158661}{2500000000000000000}$$

Factor

$$\frac{127 \cdot 607334323698209 \cdot 3 ^ {3}}{2 ^ {17} \cdot 5 ^ {19}} = 0.8330197583844635$$