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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,326 prompts matching "Solve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360"

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Show All Working: Solving a logarithmic equation and rejecting the invalid root

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on solving a

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Explain Back: The range of values of k for which the roots are real

I have just studied the range of values of k for which the roots are real in my SS3 Furthe

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Spot My Mistake: The factor theorem for a divisor of the form ax minus b

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Spot My Mistake: The relations between roots and coefficients for a quartic

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Common Mistakes: The range of values of x for which an expression stays positive

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Final Revision: Counting the number plates or codes that can be formed under a rule

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Worked Example: The identities for one plus tan squared and one plus cot squared

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Explain Back: The compound angle formula for tan of A plus B

I have just studied the compound angle formula for tan of A plus B in my SS3 Further Mathe

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Show All Working: The half angle formulae and the t-substitution

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Show All Working: Solving a cos x plus b sin x equals c by the R method

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Worked Example: The shape, period and range of the cosine curve

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Explain Back: The effect of b in y equals sin bx on the period

I have just studied the effect of b in y equals sin bx on the period in my SS3 Further Mat

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Common Mistakes: Sketching two trigonometric curves on the same axes to find where they meet

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Worked Example: The midpoint formula applied to a given segment

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Explain Back: The equation of the line through two given points

I have just studied the equation of the line through two given points in my SS3 Further Ma

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Spot My Mistake: The general form ax plus by plus c equals nought

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Worked Example: The equation of a circle with a given centre and radius

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Common Mistakes: The condition for a line to be a tangent to a circle

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Worked Example: The parametric form of a point on a parabola

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Practice: The ellipse in standard form, and its two axes

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