Here are the essential concepts you must grasp in order to answer the question correctly.
Trigonometric Functions
Trigonometric functions, such as sine, cosine, and tangent, relate angles to ratios of sides in right triangles. Understanding these functions is essential for solving equations involving angles, especially when dealing with multiple angles, as they can exhibit periodic behavior and specific values at key angles.
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Introduction to Trigonometric Functions
Multiple Angle Formulas
Multiple angle formulas allow us to express trigonometric functions of multiple angles in terms of single angles. For example, the tangent of a multiple angle can be expressed using the tangent of the angle itself. This is crucial for simplifying and solving equations like tan(3x) in the given problem.
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Interval Notation
Interval notation specifies the range of values for which a solution is valid. In this case, the interval [0, 2Ο) indicates that solutions must be found within one full rotation of the unit circle, which is important for determining all possible angles that satisfy the equation within the specified range.
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