Mathematics P2 Free
Analytical Geometry: Midpoints, Gradients and Lines
Master the four core formulas — distance, midpoint, gradient and the line equation — and use gradients to prove shapes and angles.
14 min · beginner · certificate
Mathematics P2 Step 9 of 9 beginner
Trigonometric Identities and Reduction
Prove identities with a reliable method, reduce any angle to an acute one, and know which quadrant makes each ratio positive.
By the end, you can
apply reduction formulae, use the CAST rule and prove trigonometric identities systematically.
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Trigonometric Identities and Reduction
QUEST MATH-P2-TRIG-IDENTITIES
Signs first, then algebra
Trigonometry questions are rarely lost in the algebra. They are lost on a sign — a negative that should have been positive, because the angle was in a quadrant nobody checked. 📐
So the order of work matters: establish the quadrant and the sign first, then do the algebra.
Reply NEXT to continue ▸
What you'll cover
- 1 Signs first, then algebrafree preview above
- 2 The CAST rule
- 3 The two identities everything rests on
- 4 Reduction formulae
- 5 Proving an identity
- 6 Compound and double angles
- 7 A routine for trig questions
- 8 The challenge
- 9 What to take with you
Your certificate
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Trigonometric Identities and Reduction
LCA-2026-••••••••
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Trigonometric Identities and Reduction: questions
How long does Trigonometric Identities and Reduction take?
About 14 minutes: 9 short lessons, 2 quick checks and a 5-question final challenge. Your progress is saved after every step, so you can stop and carry on later.
How much does Trigonometric Identities and Reduction cost?
R19, paid securely online, or 19 learning credits from your wallet. You pay once: if you don’t pass the challenge, you try again at no extra cost.
What do I need to pass?
4 out of 5 on the final challenge (80%). The quick checks along the way help you learn and do not count towards your mark.
Is the certificate accredited?
No. A MicroQuest is informal learning. Your certificate proves you completed it and has a number and QR code anyone can verify, but it is not an accredited qualification or SETA/QCTO credits, and it says so.
Can I do it on my phone?
Yes. Tap Start to learn in your phone’s browser, or send QUEST MATH-P2-TRIG-IDENTITIES to 076 263 6000 on WhatsApp. It is the same MicroQuest and the same certificate either way.
Trigonometric Identities and Reduction
R19 · 14 min · certificate