Find the general solution of 4cos^2 theta = 1
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MathBot Answer:
The real solutions are: \[\begin{aligned}θ &= \left\{\frac{2 \pi \left(2 + 3 n\right)}{3}\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 4.1887902\; \middle|\; n \in \mathbb{Z}\right\}\\θ &= \left\{\frac{2 \pi \left(1 + 3 n\right)}{3}\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 2.0943951\; \middle|\; n \in \mathbb{Z}\right\}\\θ &= \left\{\frac{\pi \left(5 + 6 n\right)}{3}\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 5.2359878\; \middle|\; n \in \mathbb{Z}\right\}\\θ &= \left\{\frac{\pi \left(1 + 6 n\right)}{3}\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 1.0471976\; \middle|\; n \in \mathbb{Z}\right\}\end{aligned}\]