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Find the solutions to a trig equation between -2π and 2π.

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Final answer:

To find the solutions to a trig equation between -2π and 2π, we need to determine the values of x that satisfy the equation. We can use the inverse sine function (sin⁻¹) to find the values of x that satisfy the equation.

Step-by-step explanation:

To find the solutions to a trig equation between -2π and 2π, we need to determine the values of x that satisfy the equation. Let's say the equation is of the form sin(x) = k, where k is any constant value between -1 and 1. We can use the inverse sine function (sin⁻¹) to find the values of x that satisfy the equation. For example, if k = 0.5, then x = sin⁻¹(0.5) ≈ 0.524 or x = π - sin⁻¹(0.5) ≈ 2.618.

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