Whakaoti i te sin26/a=sin14/3,9

$$\frac { \sin 26 } { a } = \frac { \sin 14 } { 3,9 }$$

Whakaoti mō a

$$a = \frac{56988249082580062}{8064063186655591} = 7\frac{539806775990927}{8064063186655591} \approx 7.0669398$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Evaluate trigonometric functions in the problem

$$\frac{0.4383711467890774}{a} = \frac{0.24192189559966773}{3.9}$$

Tē taea kia ōrite te tāupe a ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te a.

$$0.4383711467890774=a\times \frac{0.24192189559966773}{3.9}$$

Whakarohaina te \frac{0.24192189559966773}{3.9} mā te whakarea i te taurunga me te tauraro ki te 100000000000000000.

$$0.4383711467890774=a\times \frac{24192189559966773}{390000000000000000}$$

Whakahekea te hautanga \frac{24192189559966773}{390000000000000000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$0.4383711467890774=a\times \frac{8064063186655591}{130000000000000000}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$a\times \frac{8064063186655591}{130000000000000000}=0.4383711467890774$$

Me whakarea ngā taha e rua ki te \frac{130000000000000000}{8064063186655591}, te tau utu o \frac{8064063186655591}{130000000000000000}.

$$a=0.4383711467890774\times \frac{130000000000000000}{8064063186655591}$$

Me tahuri ki tau ā-ira 0.4383711467890774 ki te hautau \frac{2191855733945387}{10000000000}. Whakahekea te hautanga \frac{2191855733945387}{10000000000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 1.

$$a=\frac{2191855733945387}{5000000000000000}\times \frac{130000000000000000}{8064063186655591}$$

Me whakarea te \frac{2191855733945387}{5000000000000000} ki te \frac{130000000000000000}{8064063186655591} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$a=\frac{2191855733945387\times 130000000000000000}{5000000000000000\times 8064063186655591}$$

Mahia ngā whakarea i roto i te hautanga \frac{2191855733945387\times 130000000000000000}{5000000000000000\times 8064063186655591}.

$$a=\frac{284941245412900310000000000000000}{40320315933277955000000000000000}$$

Whakahekea te hautanga \frac{284941245412900310000000000000000}{40320315933277955000000000000000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5000000000000000.

$$a=\frac{56988249082580062}{8064063186655591}$$