1,045 prompts matching "The determinant of a 2 by 2 matrix as ad minus bc"
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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 tan(x) = -1, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve tan(x) = -1, 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: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Worked example: how many ways can a committee of 4 be chosen from 10 people
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Worked example: expand (x+2)^5 fully using the binomial theorem
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places
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Worked example: construct the truth table for (p AND q) OR (NOT p)
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Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
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Worked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table
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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q
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Real-life application of sum and product of roots
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where sum an
Show that command word: quadratic factorisation
I am in SS 2. Explain what the command word 'Show that' means in a Cambridge Additional Ma
Spot the examiner's trick in a factorisation question
I am in SS 2. Give me a quadratic equation exam question that has a common trap, such as a
Structured question: complete the square then find the minimum
I am in SS 2. Give me a two-part structured question where I first complete the square for
Non-calculator completing the square with fractional coefficients
I am in SS 2. Set me a non-calculator completing the square question where the coefficient
Structured question: quadratic formula with exact surd answer
I am in SS 2. Give me a quadratic formula question where the answer must be left as an exa
Give your answer correct to command word: quadratic formula
I am in SS 2. Set me a quadratic formula question that says 'giving your answers correct t