Determining the Equation of a Sine and Cosine Graph
Determining the Equation of a Sine and Cosine Graph

Determining trigonometric functions given their graphs

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Table of Contents

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
  2. A sinusoidal curve has a minimum point at and the closest maximum point to the right is . Determine an equation of this curve.

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