Determining trigonometric functions given their graphs

All in One Place

Everything you need for better grades in university, high school and elementary.

Learn with Ease

Made in Canada with help for all provincial curriculums, so you can study in confidence.

Instant and Unlimited Help

Get the best tips, walkthroughs, and practice questions.

0/3
?
Examples
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

    1. Determining trigonometric functions given their graphs

    2. 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.