Solve 18sin(59)/sin(26)

$$\frac{ 18 \sin ( 59 ) }{ \sin ( 26 ) }$$

Evaluate

$$\frac{77145057063190098}{2191855733945387}\approx 35.196229327$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{18 \cdot 0.8571673007021122}{0.4383711467890774}$$

Multiply 18 and 0.8571673007021122 to get 15.4290114126380196.

$$\frac{15.4290114126380196}{0.4383711467890774}$$

Expand \frac{15.4290114126380196}{0.4383711467890774} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{154290114126380196}{4383711467890774}$$

Reduce the fraction \frac{154290114126380196}{4383711467890774} to lowest terms by extracting and canceling out 2.

$$\frac{77145057063190098}{2191855733945387}$$

Factor

$$\frac{2 \cdot 14563 \cdot 26017 \cdot 11311691 \cdot 3 ^ {2}}{463 \cdot 253321 \cdot 18687869} = 35\frac{430106375101551}{2191855733945387} = 35.19622932679395$$