Whakaoti i te x(tan50)-x(tan15)=90

$$x ( \tan 50 ) - x ( \tan 15 ) = 90$$

Whakaoti mō x_0

$$x_{0}=\frac{639178641980700x_{1}-300000000000000000}{893163974770409}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Evaluate trigonometric functions in the problem

$$x 1.19175359259421 - x 0.2679491924311227 = 90$$

Whakareatia te -1 ki te 0.2679491924311227, ka -0.2679491924311227.

$$x_{1}\times 0.19175359259421-0.2679491924311227x_{0}=90$$

Tangohia te x_{1}\times 0.19175359259421 mai i ngā taha e rua.

$$-0.2679491924311227x_{0}=90-x_{1}\times 0.19175359259421$$

He hanga arowhānui tō te whārite.

$$-0.2679491924311227x_{0}=-\frac{19175359259421x_{1}}{100000000000000}+90$$

Whakawehea ngā taha e rua o te whārite ki te -0.2679491924311227, he ōrite ki te whakarea i ngā taha e rua ki te tau huripoki o te hautanga.

$$\frac{-0.2679491924311227x_{0}}{-0.2679491924311227}=\frac{-\frac{19175359259421x_{1}}{100000000000000}+90}{-0.2679491924311227}$$

Mā te whakawehe ki te -0.2679491924311227 ka wetekia te whakareanga ki te -0.2679491924311227.

$$x_{0}=\frac{-\frac{19175359259421x_{1}}{100000000000000}+90}{-0.2679491924311227}$$

Whakawehe 90-\frac{19175359259421x_{1}}{100000000000000} ki te -0.2679491924311227 mā te whakarea 90-\frac{19175359259421x_{1}}{100000000000000} ki te tau huripoki o -0.2679491924311227.

$$x_{0}=\frac{639178641980700x_{1}-300000000000000000}{893163974770409}$$

Whakaoti mō x_1

$$x_{1}=\frac{893163974770409x_{0}}{639178641980700}+\frac{1000000000000000}{2130595473269}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Evaluate trigonometric functions in the problem

$$x 1.19175359259421 - x 0.2679491924311227 = 90$$

Me tāpiri te x_{0}\times 0.2679491924311227 ki ngā taha e rua.

$$x_{1}\times 0.19175359259421=90+x_{0}\times 0.2679491924311227$$

He hanga arowhānui tō te whārite.

$$0.19175359259421x_{1}=\frac{2679491924311227x_{0}}{10000000000000000}+90$$

Whakawehea ngā taha e rua o te whārite ki te 0.19175359259421, he ōrite ki te whakarea i ngā taha e rua ki te tau huripoki o te hautanga.

$$\frac{0.19175359259421x_{1}}{0.19175359259421}=\frac{\frac{2679491924311227x_{0}}{10000000000000000}+90}{0.19175359259421}$$

Mā te whakawehe ki te 0.19175359259421 ka wetekia te whakareanga ki te 0.19175359259421.

$$x_{1}=\frac{\frac{2679491924311227x_{0}}{10000000000000000}+90}{0.19175359259421}$$

Whakawehe 90+\frac{2679491924311227x_{0}}{10000000000000000} ki te 0.19175359259421 mā te whakarea 90+\frac{2679491924311227x_{0}}{10000000000000000} ki te tau huripoki o 0.19175359259421.

$$x_{1}=\frac{893163974770409x_{0}}{639178641980700}+\frac{1000000000000000}{2130595473269}$$