1,334 prompts matching "IGCSE Additional Maths Y11: Writing tan x in terms of sin x and cos x — Worked E"
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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
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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
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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
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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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