Datrys sin101/a=sin31/3.9

$$\frac { \sin 101 } { a } = \frac { \sin 31 } { 3.9 }$$

Datrys ar gyfer a

$$a = \frac{6380576692409816}{858396791516757} = 7\frac{371799151792517}{858396791516757} \approx 7.433132038$$

Camau ar gyfer Datrys Hafaliad Llinol

Evaluate trigonometric functions in the problem

$$\frac{0.981627183447664}{a} = \frac{0.5150380749100542}{3.9}$$

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.

$$0.981627183447664=a\times \frac{0.5150380749100542}{3.9}$$

Ehangu \frac{0.5150380749100542}{3.9} drwy luosi'r rhifiadur a'r enwadur gyda 10000000000000000.

$$0.981627183447664=a\times \frac{5150380749100542}{39000000000000000}$$

Lleihau'r ffracsiwn \frac{5150380749100542}{39000000000000000} i'r graddau lleiaf posib drwy dynnu a chanslo allan 6.

$$0.981627183447664=a\times \frac{858396791516757}{6500000000000000}$$

Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.

$$a\times \frac{858396791516757}{6500000000000000}=0.981627183447664$$

Lluoswch y ddwy ochr â \frac{6500000000000000}{858396791516757}, cilyddol \frac{858396791516757}{6500000000000000}.

$$a=0.981627183447664\times \frac{6500000000000000}{858396791516757}$$

Troswch y rhif degol 0.981627183447664 i’r ffracsiwn \frac{61351698965479}{10000000000}. Lleihau'r ffracsiwn \frac{61351698965479}{10000000000} i'r graddau lleiaf posib drwy dynnu a chanslo allan 1.

$$a=\frac{61351698965479}{62500000000000}\times \frac{6500000000000000}{858396791516757}$$

Lluoswch \frac{61351698965479}{62500000000000} â \frac{6500000000000000}{858396791516757} drwy luosi'r rhifiadur â’r rhifiadur a'r enwadur â’r enwadur.

$$a=\frac{61351698965479\times 6500000000000000}{62500000000000\times 858396791516757}$$

Gwnewch y gwaith lluosi yn y ffracsiwn \frac{61351698965479\times 6500000000000000}{62500000000000\times 858396791516757}.

$$a=\frac{398786043275613500000000000000}{53649799469797312500000000000}$$

Lleihau'r ffracsiwn \frac{398786043275613500000000000000}{53649799469797312500000000000} i'r graddau lleiaf posib drwy dynnu a chanslo allan 62500000000000.

$$a=\frac{6380576692409816}{858396791516757}$$