UNIT OVERVIEW

This revision unit helps you prepare for your mid-year examination. You will revise the main ideas from Term 2 and practise applying them to exam-style problems.

What you will revise:

• Effects of parameters $a$, $p$, and $q$ on parabolas, hyperbolas, exponential functions, and trigonometric functions
• Average gradient and gradient at a point
• Trigonometric identities: $\tan \theta = \frac{\sin \theta}{\cos \theta}$ and $\sin^2 \theta + \cos^2 \theta = 1$
• Reduction formulae for simplifying trigonometric expressions
• Solving trigonometric equations (general and specific solutions)
• Key Term 1 topics needed for the mid-year exam

Why these topics matter:

Functions describe patterns in real life—how signals weaken with distance, how money grows in a bank account, and how waves behave in sound and light. Trigonometry helps engineers calculate forces in bridges and buildings, and helps your phone's GPS find your location.

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