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solving trigonometric equation

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Find all real numbers in the interval [0, 2pi] that satisfy these equations (see attached)

15. sin^2a - sqrt(2)/2 sina = 0
16. 6cos^2a - 7cosa + 2 =0
17. 6sin^2a - 2sina - 1 = 0.

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The solution provides several examples of solving trigonometric equations. The solution is detailed and well presented.

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