Solve tan(40)13.35/2

$$\tan ( 40 ) \frac{ 13.35 }{ 2 }$$

Evaluate

$$5.6009900381083433325$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.8390996311772799 \frac{13.35}{2}$$

Expand \frac{13.35}{2} by multiplying both numerator and the denominator by 100.

$$0.8390996311772799\times \frac{1335}{200}$$

Reduce the fraction \frac{1335}{200} to lowest terms by extracting and canceling out 5.

$$0.8390996311772799\times \frac{267}{40}$$

Convert decimal number 0.8390996311772799 to fraction \frac{8390996311772799}{10000000000}. Reduce the fraction \frac{8390996311772799}{10000000000} to lowest terms by extracting and canceling out 1.

$$\frac{8390996311772799}{10000000000000000}\times \frac{267}{40}$$

Multiply \frac{8390996311772799}{10000000000000000} times \frac{267}{40} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8390996311772799\times 267}{10000000000000000\times 40}$$

Do the multiplications in the fraction \frac{8390996311772799\times 267}{10000000000000000\times 40}.

$$\frac{2240396015243337333}{400000000000000000}$$

Factor

$$\frac{89 \cdot 932332923530311 \cdot 3 ^ {3}}{2 ^ {19} \cdot 5 ^ {17}} = 5\frac{2.403960152433375 \times 10^{17}}{4 \times 10^{17}} = 5.6009900381083435$$