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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,332 prompts matching "Explain trigonometric identities back to me"

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Structured question: solve a trig equation for all solutions in range

I am in SS 3. Give me a structured question asking me to solve a trigonometric equation an

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Prove that tanx + 1/tanx = 1/(sinx cosx)

I am in SS 3. Give me the 'prove that' identity tanx + 1/tanx = 1/(sinx cosx) as a structu

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Worked example: seat 4 boys and 3 girls alternately in a row

I am in SS 3. Show me a full worked example finding the number of ways to seat 4 boys and

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Structured question: solving a trig equation involving a double angle

I am in SS 3. Give me a structured trigonometric equation question involving sin(2x) or co

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Worked Example: Adding two 3 by 3 matrices

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Worked Example: The associative law for the product of three matrices

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Worked Example: A singular matrix, and why it has no inverse

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Worked Example: Evaluating a 3 by 3 determinant by the rule of Sarrus

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Worked Example: Forming the determinant Dy by replacing the second column

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Worked Example: Checking the solution of three equations by substitution

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Worked Example: The units of mass, and the SI unit

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Worked Example: The direction of the resultant of two forces

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Worked Example: Marking the weight, the normal reaction and the friction on a diagram

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Worked Example: Using the sine rule on the triangle of forces

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Worked Example: Finding a particular term of a binomial expansion

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Worked Example: The probability of no events at all in a Poisson distribution

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Worked Example: The continuity correction when approximating a discrete distribution

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Worked Example: The powers of i, and the cycle they follow

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Worked Example: Squaring a complex number

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Worked Example: The quotient rule for differentiation

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