Solving trigonometric equations involving multiple angles

Solving trigonometric equations involving multiple angles

Lessons

  • 1.
    Solve the following equations
    i) State the general solution
    ii) 0x2π0 \leq x \leq 2\pi
    a)
    sin3x=12\sin 3x = - {1 \over 2}

    b)
    cos2x=22\cos 2x = {\sqrt2 \over 2}

    c)
    tanx2=1\tan {x \over 2} = -1

    d)
    3sin22x7sin2x=15sin2x3\sin^2 2x -7 \sin 2x = 1 - 5 \sin 2x


  • 2.
    Solve: sin2xcos2x=0\sin 2x - \cos 2x = 0
    180x180 -180^\circ \leq x \leq 180^\circ