trigonometry

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Find all the solutions of x,for 0 is less than x is less than 2 pi

a. Sin(x + pi/4 + sin(x - pi/4)= -1

b. Sin(1/3 x+5) = 1/2

  • trigonometry -

    recalling that sin pi/4 = cos pi/4 = 1/√2
    and
    sin(a+b) = sina*cosb + cosa*sinb,

    a.
    x = 5pi/4 or 7pi/4

    b.
    x/3+5 = pi/6 or 5pi/6
    x = 13pi/2-15

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