1,005 prompts matching "Solving an equation by first applying a double angle formula"
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Summarise quadratic equations for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho
Test me under exam conditions on quadratic equations
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on qu
Give me common mistakes students make in quadratic equations
Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe
Solve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve 2cos(x) = 1, for 0 <=
Solve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve sin(2x) = 0.5, for 0
Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve 3sin(x) - 1 = 0, for
Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve cos^2(x) - sin^2(x) =
Worked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Worked example: construct the truth table for (p AND q) OR (NOT p)
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Real-life application of quadratic equations
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where quadra
Real-life application of cubic equations
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where cubic
Real-life application of trigonometric equations
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where trigon
Give me a 5-minute recap of quadratic equations
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of quadratic equations,
Give me a 5-minute recap of cubic equations
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of cubic equations, cove
Deduce command word: minimum value from completed square
I am in SS 2. Explain the command word 'deduce' with an example where completing the squar
Form a quadratic from a given sum and product
Set me a structured question: given the sum and product of the roots of a quadratic equati
Find k command word: line tangent to a curve
I am in SS 2. Set me an Additional Maths exam question phrased 'find the value of k for wh
Practice: Factorising a quadratic with a common factor taken out first
Act as my SS2 Further Mathematics tutor. Give me five practice questions on factorising a
Final Revision: A word problem solved by factorising a quadratic
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a