Solve 23*3^2/4*tan(frac{180{23})}

$$\frac{ 23 \times { 3 }^{ 2 } }{ 4 \times \tan ( \frac{ 180 }{ 23 } ) }$$

Evaluate

$$\frac{225000000000000000}{597594940639649}\approx 376.509211673$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{23 \cdot {(3)} ^ {2}}{4 \cdot 0.13744683634711927}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{23\times 9}{4\times 0.13744683634711927}$$

Multiply 23 and 9 to get 207.

$$\frac{207}{4\times 0.13744683634711927}$$

Multiply 4 and 0.13744683634711927 to get 0.54978734538847708.

$$\frac{207}{0.54978734538847708}$$

Expand \frac{207}{0.54978734538847708} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{20700000000000000000}{54978734538847708}$$

Reduce the fraction \frac{20700000000000000000}{54978734538847708} to lowest terms by extracting and canceling out 92.

$$\frac{225000000000000000}{597594940639649}$$

Factor

$$\frac{2 ^ {15} \cdot 3 ^ {2} \cdot 5 ^ {17}}{23 \cdot 25982388723463} = 376\frac{304302319491976}{597594940639649} = 376.5092116729875$$