1,045 prompts matching "The three forms of the double angle formula for cosine"
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Worked example: converse and inverse of a statement
Act as my SS2 Further Maths tutor. Show me a full worked example of writing the converse a
Worked example: testing an argument for validity
Act as my SS2 Further Maths tutor. Show me a full worked example of testing a simple logic
Teach me the universal and existential quantifiers
Act as my SS2 Further Maths tutor. Teach me the difference between the universal quantifie
Teach me Writing out Pascal's triangle row by row
You are my SS2 Further Mathematics tutor. Teach me writing out Pascal's triangle row by ro
Worked example: expanding (x+y)^4 using Pascal's triangle
Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (x+y)^4 usin
Give me practice on the binomial theorem
Act as my SS2 Further Maths tutor. Give me eight practice questions covering Pascal's tria
Test me under exam conditions on polynomials and the remainder/factor theorems
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on po
Test me under exam conditions on the binomial theorem
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on th
Test me under exam conditions on measures of dispersion
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on me
Quiz me on the whole term's Further Maths topics
Act as my SS2 Further Maths tutor. Quiz me with one question from each major topic I've co
Simplify the surd expression sqrt(72) + sqrt(18)
Act as my SS2 Further Maths tutor. Show me step by step how to simplify sqrt(72) + sqrt(18
Simplify the surd expression sqrt(50) - sqrt(8)
Act as my SS2 Further Maths tutor. Show me step by step how to simplify sqrt(50) - sqrt(8)
Simplify the surd expression (3+sqrt2)(3-sqrt2)
Act as my SS2 Further Maths tutor. Show me step by step how to simplify (3+sqrt2)(3-sqrt2)
Simplify the surd expression 5/(1+sqrt3)
Act as my SS2 Further Maths tutor. Show me step by step how to simplify 5/(1+sqrt3), extra
Simplify the surd expression (2+sqrt5)^2
Act as my SS2 Further Maths tutor. Show me step by step how to simplify (2+sqrt5)^2, extra
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: 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
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
WAEC exam question: symmetric functions of roots
I am in SS 2. Give me a WAEC-style Further Maths question asking for alpha^3+beta^3 or (al
Structured question: find coordinates of intersection points
I am in SS 2. Give me a multi-part question where I solve a linear-quadratic system and th