Solve sin(56.20)divcos(71.10)-tan(17.30)=

$$\sin ( 56.20 ) \div \cos ( 71.10 ) - \tan ( 17.30 ) =$$

Evaluate

$$\frac{1825238570680464054282825508138097}{809793545495373900000000000000000}\approx 2.253955444$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.8309844692743283 / 0.32391741819814956 - 0.31146531595416077$$

Expand \frac{0.8309844692743283}{0.32391741819814956} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{83098446927432830}{32391741819814956}-0.31146531595416077$$

Reduce the fraction \frac{83098446927432830}{32391741819814956} to lowest terms by extracting and canceling out 2.

$$\frac{41549223463716415}{16195870909907478}-0.31146531595416077$$

Convert decimal number 0.31146531595416077 to fraction \frac{31146531595416077}{10000000000}. Reduce the fraction \frac{31146531595416077}{10000000000} to lowest terms by extracting and canceling out 1.

$$\frac{41549223463716415}{16195870909907478}-\frac{31146531595416077}{100000000000000000}$$

Least common multiple of 16195870909907478 and 100000000000000000 is 809793545495373900000000000000000. Convert \frac{41549223463716415}{16195870909907478} and \frac{31146531595416077}{100000000000000000} to fractions with denominator 809793545495373900000000000000000.

$$\frac{2077461173185820750000000000000000}{809793545495373900000000000000000}-\frac{252222602505356695717174491861903}{809793545495373900000000000000000}$$

Since \frac{2077461173185820750000000000000000}{809793545495373900000000000000000} and \frac{252222602505356695717174491861903}{809793545495373900000000000000000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2077461173185820750000000000000000-252222602505356695717174491861903}{809793545495373900000000000000000}$$

Subtract 252222602505356695717174491861903 from 2077461173185820750000000000000000 to get 1825238570680464054282825508138097.

$$\frac{1825238570680464054282825508138097}{809793545495373900000000000000000}$$

Factor

$$\frac{3821 \cdot 10952287 \cdot 48266993 \cdot 903623549789627}{299923535368657 \cdot 2 ^ {17} \cdot 3 ^ {3} \cdot 5 ^ {17}} = 2\frac{2.0565147968971633 \times 10^{32}}{8.097935454953738 \times 10^{32}} = 2.2539554443644194$$