Question

$$\tan ( \theta )=7/24 \sec ( \theta )GYTKAREN$$

Solve for A

$\left\{\begin{matrix}A=\frac{24\sin(\theta )}{7GKTYRe(N)}\text{, }&K\neq 0\text{ and }Re(N)\neq 0\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }\theta =\pi n_{1}+\frac{\pi }{2}\text{ and }G\neq 0\text{ and }Y\neq 0\text{ and }T\neq 0\\A\in \mathrm{C}\text{, }&\exists n_{2}\in \mathrm{Z}\text{ : }\theta =\pi n_{2}\text{ and }\left(G=0\text{ or }Y=0\text{ or }\left(\exists n_{2}\in \mathrm{Z}\text{ : }\theta =\pi n_{2}\text{ and }T=0\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }\theta =\pi n_{1}+\frac{\pi }{2}\right)\text{ or }\left(\exists n_{2}\in \mathrm{Z}\text{ : }\theta =\pi n_{2}\text{ and }Re(N)=0\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }\theta =\pi n_{1}+\frac{\pi }{2}\right)\text{ or }\left(\exists n_{2}\in \mathrm{Z}\text{ : }\theta =\pi n_{2}\text{ and }K=0\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }\theta =\pi n_{1}+\frac{\pi }{2}\right)\right)\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }\theta =\pi n_{1}+\frac{\pi }{2}\end{matrix}\right.$

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Solve for G

$\left\{\begin{matrix}G=\frac{24\sin(\theta )}{7AKTYRe(N)}\text{, }&A\neq 0\text{ and }Re(N)\neq 0\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }\theta =\pi n_{1}+\frac{\pi }{2}\text{ and }Y\neq 0\text{ and }T\neq 0\text{ and }K\neq 0\\G\in \mathrm{C}\text{, }&\exists n_{2}\in \mathrm{Z}\text{ : }\theta =\pi n_{2}\text{ and }\left(A=0\text{ or }Re(N)=0\text{ or }K=0\text{ or }T=0\text{ or }Y=0\right)\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }\theta =\pi n_{1}+\frac{\pi }{2}\end{matrix}\right.$

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