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27 February, 09:34

If sin tita = cos tita find tita between 0° and 30°

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  1. 27 February, 09:51
    0
    there is no solution for (0, 30°)

    Step-by-step explanation:

    six (x) = cos (x)

    sin (x) - cos (x) = 0

    (sin (x) - cos (x)) ^2 = 0

    sin (t) ^2 + cos (x) ^2 - 2sin (x) cos (x) = 0

    1 - sin (2x) = 0

    sin (2x) = 1

    2x = π/2 + 2πk - > k - any integer number

    x = π/4 + πk

    the smallest positive solution is π/4 = 45°. That means for range (0, 30°)

    there is no solution
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