AC9M9SP01 • Year 9 Maths

The constancy of the sine, cosine and tangent ratios for (AC9M9SP01)

recognise situations, including financial contexts, that use integers; locate and represent integers on a number line and as coordinates on the Cartesian plane

Choose a learning activity. Homework, Practice and Test use the same eight-question unit bank.

60-second Quick Read

  • recognise the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles using properties of similarity
  • Example: understanding the terms “base”, “altitude”, “hypotenuse”, and “adjacent” and “opposite” sides to an angle, in a right-angled triangle, and identifying these for a given…
  • Common trap: investigating patterns to reason about nested similar triangles that are aligned on a coordinate plane, connecting ideas of parallel sides and identifying the constancy of…