Maths - CAST

Pearson Edexcel Mathematics 2022


What CAST means

What does CAST stand for?

  • Cosine
  • All
  • Sine
  • Tan

What does CAST tell you?

When the values of trig functions are positive or negative.

What should CAST actually be called?

ASTC

Which region each angle falls in

What region of CAST are acute angles in?

A/All.

What region of CAST are obtuse angles in?

S/Sin.

What region of CAST are small reflex angles in?

T/Tan.

What region of CAST are large reflex angles in?

C/Cos.

Angle range inequalities

What is the inequality for an acute angle?

\[0^{\circ} < x < 90^{\circ}\]

What is the inequality for an obtuse angle?

\[90^{\circ} < x < 180^{\circ}\]

What is the inequality for a small reflex angle?

\[180^{\circ} < x < 270^{\circ}\]

What is the inequality for a large reflex angle?

\[270^{\circ} < x < 360^{\circ}\]

The CAST diagram

Visualise a CAST diagram?

Which functions are positive in each region

What trig functions are positive for acute angles?

All of them.

What trig functions are positive for obtuse angles?

\[\sin\]

What trig functions are positive for small reflex angles?

\[\tan\]

What trig functions are positive for large reflex angles?

\[\cos\]