An equation is given. (Enter your answers as a comma-separated list. Let $k$ be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)\\ $\sqrt{3}\tan(3\theta) - 1 = 0$\\ (a) Find all solutions of the equation.\\ $\theta = \frac{\pi}{18} + \frac{\pi k}{3}$\\ (b) Find the solutions in the interval $[0, 2\pi)$.\\ $\theta = $
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Dividing both sides of the equation by 3, we get: tan(3-1) = 0/3 tan(3-1) = 0 Now, we can use the fact that tan(x) = 0 when x is an integer multiple of π. So, we have: 3-1 = nπ 2 = nπ n = 2/π Since n is not an integer, there are no solutions to the Show more…
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