Episode 13 — Trigonometric Functions

Effect of a in y = a sinx

Learners will be able to:

• Identify the effect of a constant on the period of y = a sin(x). • Explain how the value of 'a' affects the amplitude of the graph of y = a sin(x). • Describe the change in amplitude when 'a' is halved. • Sketch the graph of y = -1/2 sin(x) and explain its relationship to the original sine graph. • Identify the x-intercepts of the graphs of y = a sin(x) for any value of 'a'.