How to solve trigonometric equation with tangent

The video tutorial explains how to solve the equation 3*tan^2(x) - 1 = 0 over the interval 0 to 2π. It begins by simplifying the equation using inverse operations, similar to algebraic methods. The tutorial then focuses on finding the values of X that satisfy the equation by using the unit circle. The instructor identifies key angles where the tangent value equals ±√3/3, specifically at π/6, 5π/6, 7π/6, and 11π/6. The lesson concludes by summarizing the solutions found within one revolution of the unit circle.

What is the equation that needs to be solved in the given text?

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Explain the process of solving the equation without the trigonometric function.

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What is the result after applying inverse operations to the equation?

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How do you find the value of X when given the tangent of X?

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What is the significance of the unit circle in solving trigonometric equations?

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What points on the unit circle correspond to the values of ± sqrt 3 / 3?

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List the angles that provide the tangent values of ± sqrt 3 / 3.

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