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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "IGCSE Additional Maths Y11: Writing tan x in terms of sin x and cos x — Worked E"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Learn: Subtracting one vector from another

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Practice: The dot product as the magnitudes times the cosine of the angle

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Explain Back: The dot product of two perpendicular vectors

I have just studied the dot product of two perpendicular vectors in my SS3 Further Mathema

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Worked Example: Testing two vectors for perpendicularity

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Quiz: The vector equation of the line through two given points

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Practice: Deciding whether a point lies on a given line

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Spot My Mistake: The equilibrium condition written in vector form

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Learn: The real and the imaginary parts of a complex number

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Quiz: Subtracting one complex number from another

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Practice: Equating real and imaginary parts to find two unknowns

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Spot My Mistake: Dividing one complex number by another using the conjugate

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Worked Example: Squaring a complex number

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Practice: The argument of a complex number in the second or third quadrant

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Practice: Converting a complex number from polar form back to a plus bi

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Explain Back: Raising a complex number to a power by de Moivre's theorem

I have just studied raising a complex number to a power by de Moivre's theorem in my SS3 F

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Spot My Mistake: Deriving a multiple angle formula from de Moivre's theorem

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Practice: Why complex roots of a real quadratic come in conjugate pairs

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Explain Back: Forming a quadratic equation with given complex roots

I have just studied forming a quadratic equation with given complex roots in my SS3 Furthe

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Practice: Differentiating x squared from first principles

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Explain Back: Differentiating one over x from first principles

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