Use the slider to change the value of \(a\).

  • What do you notice?
  • What questions do you have?

What happens to the base of the triangle when the function changes from \(\sin x\) to \(\sin 2x\)?

How does this affect the gradient of the tangent?

The tangent to \(\sin x\) and the tangent to \(\sin 2x\) are drawn from two points with different \(x\) coordinates. What is the relationship between these \(x\) values?