Whakaoti i te {l}{7sin^2(θ)+3cos^2(θ)=4}{a={(sqrt{3})}}{b=a}{text{Solvefor}ctext{where}}{c=b}

$$\left. \begin{array} { l } { 7 \sin^{2}(\theta) + 3 \cos^{2}(\theta) = 4 }\\ { a = {(\sqrt{3})} }\\ { b = a }\\ { \text{Solve for } c \text{ where} } \\ { c = b } \end{array} \right.$$

Whakaoti mō θ, a, b, c

$$\theta =2\pi n_{1}+\frac{5\pi }{6}\text{, }n_{1}\in \mathrm{Z}\text{, }a=\sqrt{3}\approx 1.732050808\text{, }b=\sqrt{3}\approx 1.732050808\text{, }c=\sqrt{3}\approx 1.732050808$$

$$\theta =2\pi n_{2}+\frac{7\pi }{6}\text{, }n_{2}\in \mathrm{Z}\text{, }a=\sqrt{3}\approx 1.732050808\text{, }b=\sqrt{3}\approx 1.732050808\text{, }c=\sqrt{3}\approx 1.732050808$$

$$\theta =2\pi n_{3}+\frac{\pi }{6}\text{, }n_{3}\in \mathrm{Z}\text{, }a=\sqrt{3}\approx 1.732050808\text{, }b=\sqrt{3}\approx 1.732050808\text{, }c=\sqrt{3}\approx 1.732050808$$

$$\theta =2\pi n_{4}+\frac{11\pi }{6}\text{, }n_{4}\in \mathrm{Z}\text{, }a=\sqrt{3}\approx 1.732050808\text{, }b=\sqrt{3}\approx 1.732050808\text{, }c=\sqrt{3}\approx 1.732050808$$