1,045 prompts matching "Expressing a cos x plus b sin x in the form R cos of x minus alpha"
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Teach me how to solve cubic equations
Act as my SS2 Further Maths tutor. Teach me how to solve a cubic equation by first using t
Teach me what a proposition is
Act as my SS2 Further Maths tutor. Teach me the difference between a simple proposition an
Quiz me on why negation reverses every truth value
Act as my SS2 Further Maths tutor. Quiz me by giving me combinations of true and false val
Worked example: truth table for a compound statement
Act as my SS2 Further Maths tutor. Show me a full worked example of constructing the truth
Teach me biconditional propositions
Act as my SS2 Further Maths tutor. Teach me what a biconditional proposition is, using the
Teach me what a tautology is
Act as my SS2 Further Maths tutor. Teach me what a tautology is in propositional logic, gi
Quiz me on tautologies
Act as my SS2 Further Maths tutor. Quiz me with four compound statements and ask me each t
Teach me what a logical argument is
Act as my SS2 Further Maths tutor. Teach me what a logical argument is in propositional lo
Quiz me on argument validity
Act as my SS2 Further Maths tutor. Quiz me with three logical arguments, each with two pre
Teach me predicate logic basics
Act as my SS2 Further Maths tutor. Teach me the basics of predicate logic, including what
Quiz me on predicate logic statements
Act as my SS2 Further Maths tutor. Quiz me by giving me statements written in everyday lan
Teach me how to simplify surds
Act as my SS2 Further Maths tutor. Teach me how to simplify surds, including how to add, s
Teach me arithmetic progressions
Act as my SS2 Further Maths tutor. Teach me the formulas for the nth term and the sum of t
Quiz me on basic differentiation
Act as my SS2 Further Maths tutor. Quiz me with five polynomial functions and ask me to di
Teach me what a complex number is
Act as my SS2 Further Maths tutor. Teach me what a complex number is, including the meanin
Quiz me on complex number operations
Act as my SS2 Further Maths tutor. Quiz me with five questions on adding, subtracting, mul
Teach me what a matrix is
Act as my SS2 Further Maths tutor. Teach me what a matrix is, including the meaning of its
Teach me what a vector is
Act as my SS2 Further Maths tutor. Teach me the difference between a vector and a scalar,
Quiz me on vector operations
Act as my SS2 Further Maths tutor. Quiz me with four questions on adding, subtracting, and
Teach me mean, variance and standard deviation
Act as my SS2 Further Maths tutor. Teach me how to calculate the mean, variance and standa