Lutasin ang sin52^circ/45^circsin115^circ

$$\frac { \sin 52 ^ { \circ } } { 45 ^ { \circ } } \sin 115 ^ { \circ }$$

I-evaluate

$$\frac{7141802822623910782639003613}{450000000000000000000000000000}\approx 0.015870673$$

Mga Hakbang ng Solution

Evaluate trigonometric functions in the problem

$$\frac{0.788010753606722}{45} 0.90630778703665$$

I-expand ang \frac{0.788010753606722}{45} sa pamamagitan ng pag-multiply sa parehong numerator at denominator ng 1000000000000000.

$$\frac{788010753606722}{45000000000000000}\times 0.90630778703665$$

Bawasan ang fraction \frac{788010753606722}{45000000000000000} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 2.

$$\frac{394005376803361}{22500000000000000}\times 0.90630778703665$$

I-convert ang decimal number na 0.90630778703665 sa fraction na \frac{18126155740733}{10000000000}. Bawasan ang fraction \frac{18126155740733}{10000000000} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 1.

$$\frac{394005376803361}{22500000000000000}\times \frac{18126155740733}{20000000000000}$$

I-multiply ang \frac{394005376803361}{22500000000000000} sa \frac{18126155740733}{20000000000000} sa pamamagitan ng pag-multiply ng numerator sa numerator at denominator sa denominator.

$$\frac{394005376803361\times 18126155740733}{22500000000000000\times 20000000000000}$$

Gawin ang mga multiplication sa fraction na \frac{394005376803361\times 18126155740733}{22500000000000000\times 20000000000000}.

$$\frac{7141802822623910782639003613}{450000000000000000000000000000}$$

I-factor

$$\frac{66373 \cdot 273095321 \cdot 394005376803361}{2 ^ {28} \cdot 3 ^ {2} \cdot 5 ^ {29}} = 0.01587067293916425$$