Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,318 prompts matching "IGCSE Additional Maths Y11: The derivative of cos x — Worked Example"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Solve 2cos^2(x) - cos(x) - 1 = 0 for 0 to 360 degrees
I am in SS 3. Give me the quadratic trigonometric equation 2cos^2(x)-cos(x)-1=0 to solve f
Subscribe to unlock allProve that (1-cos^2x)/sinx = sinx
I am in SS 3. Give me the 'prove that' identity (1-cos^2x)/sinx = sinx as a structured que
Subscribe to unlock allProve 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
Subscribe to unlock allDifferentiate y = 4x^3 - 6x^2 + 2x - 9 and evaluate the gradient at x=1
I am in SS 3. Give me the curve y = 4x^3 - 6x^2 + 2x - 9 as a structured differentiation q
Subscribe to unlock allFind the tangent to y = x^2 - 4x + 7 at x = 3
I am in SS 3. Give me the curve y = x^2 - 4x + 7 as a structured question: find the gradie
Subscribe to unlock allSpot my mistake: checking each line of a trigonometric identity proof
I am in SS 3. I will show you my full proof of a trigonometric identity. Check each line f
Subscribe to unlock allWorked example: solve the simultaneous system y = 2x - 1 and y = x^2 - 4
I am in SS 3. Show me a full worked example solving the linear-quadratic system y=2x-1 and
Subscribe to unlock allWorked example: find where the tangent to y = x^3 crosses the x-axis
I am in SS 3. Show me a full worked example finding the equation of the tangent to y=x^3 a
Subscribe to unlock allExplain back: why we check the domain in logarithmic equations
I am in SS 3. Let me explain in my own words why we must check that x satisfies the domain
Subscribe to unlock allNon-calculator paper: exact value question on sum and product of roots
I am in SS 3. Give me a non-calculator sum and product of roots question where the final a
Subscribe to unlock allWAEC Prep: The commutative law for matrix addition
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the commutative la
Subscribe to unlock allLearn: Why two matrices can be added only when their orders match
You are my personal SS3 Further Mathematics tutor. Teach me why two matrices can be added only when their orders match, working in clear steps and saying what the notation means as you use it. Check I have followed each step before moving on, and finish with one short question for me to try.
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Quiz: The zero matrix as the identity for matrix addition
Act as my SS3 Further Mathematics tutor and quiz me on the zero matrix as the identity for
Subscribe to unlock allWAEC Prep: Subtracting one 2 by 2 matrix from another
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Subscribe to unlock allWAEC Prep: Raising a 2 by 2 matrix to the third power
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through raising a 2 by 2 m
Subscribe to unlock allWAEC Prep: Multiplying a 3 by 3 matrix by the identity matrix
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through multiplying a 3 by
Subscribe to unlock allWAEC Prep: The difference between pre-multiplying and post-multiplying by a matrix
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Subscribe to unlock allSpot My Mistake: Orders that make a product possible one way round but not the other
Act as my SS3 Further Mathematics tutor. Work a question on orders that make a product pos
Subscribe to unlock allWAEC Prep: The identity matrix, and what it does in a product
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Subscribe to unlock allQuiz: The zero matrix, and how it differs from nought in arithmetic
Act as my SS3 Further Mathematics tutor and quiz me on the zero matrix, and how it differs
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