1,045 prompts matching "Writing a three-dimensional vector in i, j and k form"
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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
Solve the trigonometric equation sin(2x) = 0.5, 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
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
Worked example: expand (1-x)^4 fully and use it to estimate (0.98)^4
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
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 completing the square
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Real-life application of the remainder theorem
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Real-life application of combinations
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Real-life application of probability using combinatorics
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Real-life application of the binomial theorem
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Real-life application of indices
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Real-life application of coordinate geometry
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Real-life application of sequences and series
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Real-life application of sum and product of roots
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Real-life application of testing the validity of an argument
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