Допоможіть вирішити: 12,14,16,18,20,22,24,26,28,30

Допоможіть вирішити: 12,14,16,18,20,22,24,26,28,30

  • 12
    sin (x-π / 4) = 0
    x-π / 4 = πn
    x = π / 4 + πn, n∈z
    14
    sin (x-π / 3) = 0
    x-π / 3 = πn
    x = π / 3 + πn, n∈z
    16
    tg (π / 3-x) = 0
    -tg (x-π / 3) = 0
    x-π / 3 = πn
    x = π / 3 + πn, n∈z
    18
    cosx = -√2 / 2
    x = + - 3π / 4 + 2πn, n∈z
    20
    cos (x-π) = - 1
    -cosx = -1
    cosx = 1
    x = 2πn, n∈z
    22
    1/2 * sin2x = √3 / 4
    sin2x = √3 / 2
    2x = (- 1) ^ n * π / 3 + πn
    x = (- 1) ^ n * π / 6 + πn / 2, n∈z
    24
    1-cos (x / 3 + π / 3) = 1/2
    cos (x / 3 + π / 3) = 1/2
    x / 3 + π / 3 = + - π / 3 + 2πn
    x / 3 = -2π / 3 + 2πn U x / 3 = 2πn
    x = + - 2π + 6πn U x = 6πn, n∈z
    26
    tg3x = 4
    3x = arctg4 + πn
    x = 1/3 * arctg4 + πn / 3, n∈z
    28
    cosxcos2x = 0
    cosx = 0⇒x = π / 2 + πn, n∈z
    cos2x = 0⇒2x = π / 2 + πn⇒x = π / 4 + πn / 2, n∈z
    30
    2cos²x = 1
    2cos²x-1 = 0
    cos2x = 0
    2x = π / 2 + πn⇒x = π / 4 + πn / 2, n∈z

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