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MA30-06 Maths Coming soon

Trigonometric ratios of obtuse angles (Higher)

MA30-06

This lesson is coming soon.

In this lesson

Find the sine, cosine and tangent of an obtuse angle (90 to 180 degrees), including recognising that cosine is negative for an obtuse angle while sine stays positive.

What it covers

  • Extend sin, cos and tan beyond 90 degrees, without requiring a right-angled triangle to contain the angle
  • Know that sin(180-x) = sin(x): an obtuse angle has the same sine as its acute supplement
  • Know that cos(180-x) = -cos(x): cosine changes sign for an obtuse angle
  • Use a calculator correctly to evaluate sin/cos/tan of an obtuse angle directly

Key words

For: Edexcel IGCSE 4MA1

On the specification

BoardSpecStatement
Edexcel IGCSE 4MA1H4.8AUnderstand and use sine, cosine and tangent of obtuse angles
For teachers

This GCSE Maths lesson teaches trigonometric ratios of obtuse angles (Higher). By the end, students should be able to find the sine, cosine and tangent of an obtuse angle (90 to 180 degrees), including recognising that cosine is negative for an obtuse angle while sine stays positive. It works through two worked examples and the mistakes examiners report.