Worked examples: TCE Mathematics Methods Foundation Information Sheet

Selected worked examples

1. Trigonometry · area with an included angle

   Formula or reference: A = ab sin C/2

   Units and conditions: C is the angle between the two known sides. Use the correct angle mode.

   Worked example: Two sides of 7 m and 8 m with included angle 30° enclose 14 m².

2. Exponential models · repeated growth

   Formula or reference: y = a × bᵗ

   Units and conditions: a is the starting amount and b is the growth factor for one step of t.

   Worked example: A starting amount of 240 grows by 5% per step. After two steps the model gives 264.6.