1,045 prompts matching "Learn: The change of base formula"
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Explain why Further Maths topics connect to each other
Act as my SS2 Further Maths tutor. Explain to me how the topics I've studied so far, like
Simplify the surd expression sqrt(72) + sqrt(18)
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Simplify the surd expression sqrt(50) - sqrt(8)
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Simplify the surd expression (3+sqrt2)(3-sqrt2)
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Simplify the surd expression 5/(1+sqrt3)
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Simplify the surd expression (2+sqrt5)^2
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Solve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360
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Solve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360
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Solve the trigonometric equation tan(x) = -1, for 0 <= x <= 360
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Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360
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Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360
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Worked example: solve x^2+4x+13=0 giving the roots as complex numbers
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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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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
WAEC-style multi-mark question on completing the square
I am in SS 2. Give me a WAEC Further Maths style completing the square question worth four
Structured question: solve a quadratic inequality and state the range
I am in SS 2. Give me a structured Cambridge Additional Maths question asking me to solve
Explain Back: The zero product rule, and why it works
I have just studied the zero product rule, and why it works in my SS2 Further Mathematics