Solve 6sin(30^circ-27^circ)/cos(27^circ)

$$\frac{ 6 \sin ( 30 ^ { \circ } -27 ^ { \circ } ) }{ \cos ( 27 ^ { \circ } ) }$$

Evaluate

$$\frac{15700786872883149}{44550326209418395}\approx 0.352428101$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{6 \cdot 0.05233595624294383}{0.8910065241883679}$$

Multiply 6 and 0.05233595624294383 to get 0.31401573745766298.

$$\frac{0.31401573745766298}{0.8910065241883679}$$

Expand \frac{0.31401573745766298}{0.8910065241883679} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{31401573745766298}{89100652418836790}$$

Reduce the fraction \frac{31401573745766298}{89100652418836790} to lowest terms by extracting and canceling out 2.

$$\frac{15700786872883149}{44550326209418395}$$

Factor

$$\frac{3 \cdot 43 \cdot 211 \cdot 576831877471}{5 \cdot 17 \cdot 59 \cdot 71 \cdot 89189 \cdot 1402847} = 0.3524281011788381$$