Determining trigonometric functions given their graphs

Determining trigonometric functions given their graphs

Lessons

  • 1.
    For the following graph, write an equation (with the smallest phase shift) in the form of:
    (i) y = a sin b(x - c) + d
    (ii) y = - a sin b(x - c) + d
    (iii) y = a cos b(x - c) + d
    (iv) y = - a cos b(x - c) + d
    a)

    Determining trigonometric functions given their graphs

    b)

    writing the trigonometric equations according to their graphs


  • 2.
    A sinusoidal curve has a minimum point at (π3,5)\left( { - \frac{\pi }{3},\; - 5} \right) and the closest maximum point to the right is (π6,3)\left( {\;\frac{\pi }{6},\;3} \right). Determine an equation of this curve.