Issolvi y=x(1-sin(θ)

$$y=x(1- \sin ( \theta )$$

Solvi għal x

$$\left\{\begin{matrix}x=-\frac{y}{\sin(\theta )-1}\text{, }&\nexists n_{1}\in \mathrm{Z}\text{ : }\theta =2\pi n_{1}+\frac{\pi }{2}\\x\in \mathrm{R}\text{, }&y=0\text{ and }\exists n_{1}\in \mathrm{Z}\text{ : }\theta =2\pi n_{1}+\frac{\pi }{2}\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$x\left(1-\sin(\theta )\right)=y$$

Uża l-propjetà distributtiva biex timmultiplika x b'1-\sin(\theta ).

$$x-x\sin(\theta )=y$$

Ikkombina t-termini kollha li fihom x.

$$\left(1-\sin(\theta )\right)x=y$$

L-ekwazzjoni hija f'forma standard.

$$\left(-\sin(\theta )+1\right)x=y$$

Iddividi ż-żewġ naħat b'1-\sin(\theta ).

$$\frac{\left(-\sin(\theta )+1\right)x}{-\sin(\theta )+1}=\frac{y}{-\sin(\theta )+1}$$

Meta tiddividi b'1-\sin(\theta ) titneħħa l-multiplikazzjoni b'1-\sin(\theta ).

$$x=\frac{y}{-\sin(\theta )+1}$$

Solvi għal y

$$y=x\left(-\sin(\theta )+1\right)$$