Solve cos(72)/sin(18)=

$$\frac{ \cos ( 72 ) }{ \sin ( 18 ) } =$$

Evaluate

$$\frac{6180339887498949}{6180339887498948}\approx 1$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.30901699437494745}{0.3090169943749474}$$

Expand \frac{0.30901699437494745}{0.3090169943749474} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{30901699437494745}{30901699437494740}$$

Reduce the fraction \frac{30901699437494745}{30901699437494740} to lowest terms by extracting and canceling out 5.

$$\frac{6180339887498949}{6180339887498948}$$

Factor

$$\frac{3 \cdot 17 \cdot 19 \cdot 2531 \cdot 5813 \cdot 433507}{4182553 \cdot 369411929 \cdot 2 ^ {2}} = 1\frac{1}{6180339887498948} = 1.0000000000000002$$