Math  /  Trigonometry

Question6sin2x=5cosx26 \sin ^{2} x=5 \cos x-2

Studdy Solution
Determine the values of x x for each solution of cosx\cos x within the interval [0,2π)[0, 2\pi).
1. Calculate the approximate values of cosx\cos x from the solutions.
2. Use the inverse cosine function to find the corresponding angles x x .
3. Verify that the solutions fall within the interval [0,2π)[0, 2\pi).

Since the exact solutions depend on the numerical evaluation of 217\sqrt{217}, use a calculator to find the approximate values of x x .
The solutions for x x are the angles corresponding to the calculated cosine values within the interval [0,2π)[0, 2\pi).

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