Datrys sin64^circ/3.9=sin26^circ/a

$$\frac { \sin 64 ^ { \circ } } { 3.9 } = \frac { \sin 26 ^ { \circ } } { a }$$

Datrys ar gyfer a

$$a = \frac{85482373623870093}{44939702314958350} = 1\frac{40542671308911740}{44939702314958350} \approx 1.902157095$$

Camau ar gyfer Datrys Hafaliad Llinol

Evaluate trigonometric functions in the problem

$$\frac{0.898794046299167}{3.9} = \frac{0.4383711467890774}{a}$$

All y newidyn a ddim fod yn hafal i 0 gan nad ydy rhannu â sero wedi’i ddiffinio. Lluoswch ddwy ochr yr hafaliad â a.

$$a\times \frac{0.898794046299167}{3.9}=0.4383711467890774$$

Ehangu \frac{0.898794046299167}{3.9} drwy luosi'r rhifiadur a'r enwadur gyda 1000000000000000.

$$a\times \frac{898794046299167}{3900000000000000}=0.4383711467890774$$

Lluoswch y ddwy ochr â \frac{3900000000000000}{898794046299167}, cilyddol \frac{898794046299167}{3900000000000000}.

$$a=0.4383711467890774\times \frac{3900000000000000}{898794046299167}$$

Troswch y rhif degol 0.4383711467890774 i’r ffracsiwn \frac{2191855733945387}{10000000000}. Lleihau'r ffracsiwn \frac{2191855733945387}{10000000000} i'r graddau lleiaf posib drwy dynnu a chanslo allan 1.

$$a=\frac{2191855733945387}{5000000000000000}\times \frac{3900000000000000}{898794046299167}$$

Lluoswch \frac{2191855733945387}{5000000000000000} â \frac{3900000000000000}{898794046299167} drwy luosi'r rhifiadur â’r rhifiadur a'r enwadur â’r enwadur.

$$a=\frac{2191855733945387\times 3900000000000000}{5000000000000000\times 898794046299167}$$

Gwnewch y gwaith lluosi yn y ffracsiwn \frac{2191855733945387\times 3900000000000000}{5000000000000000\times 898794046299167}.

$$a=\frac{8548237362387009300000000000000}{4493970231495835000000000000000}$$

Lleihau'r ffracsiwn \frac{8548237362387009300000000000000}{4493970231495835000000000000000} i'r graddau lleiaf posib drwy dynnu a chanslo allan 100000000000000.

$$a=\frac{85482373623870093}{44939702314958350}$$