Resolver gamma=a(1-sin(θ)

$$\gamma = a ( 1 - \sin ( \theta )$$

Resolver a

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

Pasos para resolver unha ecuación lineal

Cambia de lado para que todos os termos variables estean no lado esquerdo.

$$a\left(1-\sin(\theta )\right)=\gamma$$

Usa a propiedade distributiva para multiplicar a por 1-\sin(\theta ).

$$a-a\sin(\theta )=\gamma$$

Combina todos os termos que conteñan a.

$$\left(1-\sin(\theta )\right)a=\gamma$$

A ecuación está en forma estándar.

$$\left(-\sin(\theta )+1\right)a=\gamma$$

Divide ambos lados entre 1-\sin(\theta ).

$$\frac{\left(-\sin(\theta )+1\right)a}{-\sin(\theta )+1}=\frac{\gamma }{-\sin(\theta )+1}$$

A división entre 1-\sin(\theta ) desfai a multiplicación por 1-\sin(\theta ).

$$a=\frac{\gamma }{-\sin(\theta )+1}$$

Resolver γ

$$\gamma =a\left(-\sin(\theta )+1\right)$$