Solve sin27^circ/cos63^circ

$$\frac { \sin 27 ^ { \circ } } { \cos 63 ^ { \circ } }$$

Evaluate

$$\frac{9079809994790935}{9079809994790936}\approx 1$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.45399049973954675}{0.4539904997395468}$$

Expand \frac{0.45399049973954675}{0.4539904997395468} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{45399049973954675}{45399049973954680}$$

Reduce the fraction \frac{45399049973954675}{45399049973954680} to lowest terms by extracting and canceling out 5.

$$\frac{9079809994790935}{9079809994790936}$$

Factor

$$\frac{5 \cdot 1815961998958187}{19 \cdot 59735592070993 \cdot 2 ^ {3}} = 1$$