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 8 of 9 beginner
Trigonometric Equations and Graph Transformations
Solve trig equations with the general solution, and read amplitude, period and shifts off a sine, cosine or tangent graph.
By the end, you can
write the general solution of a trigonometric equation and describe the transformations of a trig graph.
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Trigonometric Equations and Graph Transformations
QUEST MATH-P2-TRIG-GRAPHS
Infinitely many answers
sin x = 0,5 has an answer at 30°. It also has one at 150°, at 390°, at 510°, and at infinitely many other angles. 🔁
Trig functions repeat, so a trig equation has endless solutions. The general solution is how you write them all down at once, and giving only one answer is the standard lost mark.
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What you'll cover
- 1 Infinitely many answersfree preview above
- 2 The general solution
- 3 Negative values and restricted domains
- 4 Amplitude and period
- 5 Shifts
- 6 Working with two graphs
- 7 A routine for trig graph questions
- 8 The challenge
- 9 What to take with you
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Trigonometric Equations and Graph Transformations
LCA-2026-••••••••
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Trigonometric Equations and Graph Transformations: questions
How long does Trigonometric Equations and Graph Transformations 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 Equations and Graph Transformations 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-GRAPHS to 076 263 6000 on WhatsApp. It is the same MicroQuest and the same certificate either way.
Trigonometric Equations and Graph Transformations
R19 · 14 min · certificate