Solving trigonometric equations using double-angle identities

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  1. Utilizing "Double-Angle Identities" to solve:

    1. cos⁡2x=2sin⁡2x\cos 2x = 2 \sin^2x
      0≤x0 \leq x < 2π2\pi
    2. tan⁡x−cot⁡x=2\tan x - \cot x = 2
      0≤x0 \leq x < 2π2\pi
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