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Trigonometry: identities and equations flashcards

7 cards drawn from 5 lessons: 3 standard results, 2 recall prompts and 2 spot-the-error cards. The identities you must produce unprompted, and the interval trap that eats marks. Rate each answer to set a shorter or longer interval before the card is due again.

Years 12-13 · all 271 maths cards

How the five kinds differ

Standard results ask for a formula or value that may need to be recalled. Definitions ask for a mathematical term to be stated precisely. Recall prompts ask for a rule, condition or method. Check yourself cards contain a short question and answer. Spot the error cards ask you to correct an inaccurate claim.

Every card in this deck

Click any card to try it in the player above; the card itself links the lesson that teaches it.

• The other two Pythagorean identitiesResult
• cos 2θ, all three formsResult
• Small angle approximations, θ in radians onlyResult
• State how to find R and α in the harmonic formRecall
• State what to do with the interval when the equation contains 2xRecall
• The sine rule gives sin B = 0.6, so B = 36.9° and the triangle is settled.Spot the error
• sin 2θ is 2 sin θ.Spot the error

The lessons these cards come from

• Compound angles and the harmonic form
• Radians, arcs and small angles
• Reciprocal and inverse trigonometric functions
• Triangles and the sine and cosine rules
• Trigonometric graphs and equations

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