Solve tan(40^circ)1335/2

$$\tan ( 40 ^ { \circ } ) \frac{ 1335 }{ 2 }$$

Evaluate

$$560.09900381083433325$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.8390996311772799 \frac{1335}{2}$$

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.

$$\frac{8390996311772799}{10000000000000000}\times \frac{1335}{2}$$

Multiply \frac{8390996311772799}{10000000000000000} times \frac{1335}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8390996311772799\times 1335}{10000000000000000\times 2}$$

Do the multiplications in the fraction \frac{8390996311772799\times 1335}{10000000000000000\times 2}.

$$\frac{11201980076216686665}{20000000000000000}$$

Reduce the fraction \frac{11201980076216686665}{20000000000000000} to lowest terms by extracting and canceling out 5.

$$\frac{2240396015243337333}{4000000000000000}$$

Factor

$$\frac{89 \cdot 932332923530311 \cdot 3 ^ {3}}{2 ^ {17} \cdot 5 ^ {15}} = 560\frac{396015243337472}{4000000000000000} = 560.0990038108343$$