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Trigonometric Equations

Equations with trigonometry in them can look scary, but that's nothing that a quick little substitution can't fix.

General Solution

Which of the following is the general solution of $$2\sqrt{3}=4\sin x?$$

Which of the following is the general solution for the equation $$\frac{\sqrt{3}}{3}=\tan4x?$$

Which of the following is the general solution for the equation $$\sqrt{3}=2\sin(12x+\frac{3}{11}\pi)?$$

What is the general solution for the equation $8\cos150^\circ=4\tan\left(7x+\frac{3}{7}\pi\right)?$

Which of the following is a general solution of the equation $$\tan \left(x+\frac{37}{3}\pi \right) = 1 ?$$

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