Please help me solve the given trigonometric equation.
Consider the given equation and replace the term cos(4x) using double angle trigonometric identity. We use, cos(4x) = 2cos2(2 x) – 1. This will help us have the entire equation in the form of cos(2x). We get:
We now have a quadratic equation in terms of cos(2x). Hence, we can first solve for cos(2 x), by solving the equation using factoring.
Solving further we get:
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