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Senior Secondary

Further Mathematics

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

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Worked Example: The intersection of two overlapping sets

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Explain Back: The symmetric difference of two sets

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Worked Example: Testing whether a binary operation is closed on a given set

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Explain Back: Finding the identity element of a binary operation

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Worked Example: The discriminant, and what each of its three cases means

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Show All Working: Solving a quadratic by completing the square

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Show All Working: Finding a coefficient given a stated relation between the roots

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Common Mistakes: Symmetric functions when the three roots of a cubic are involved

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Explain Back: Finding an unknown coefficient given that a stated factor divides the polynomial

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Worked Example: The sum of the products of the roots of a cubic taken two at a time

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Worked Example: The number of arrangements of n different objects in a row

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Explain Back: Arrangements in which two particular objects must stay together

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Show All Working: Arrangements of the letters of a given word

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Common Mistakes: Arrangements restricted at the first or the last place

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Worked Example: The difference between a permutation and a combination

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Show All Working: Counting the handshakes, or the lines joining n points

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Show All Working: Proving two given lines perpendicular from their gradients

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Common Mistakes: The angle between two lines found from their gradients

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Explain Back: Deciding whether a point lies inside, on or outside a circle

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