1,325 prompts matching "The identity linking alpha squared plus beta squared to the sum and product"
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Common Mistakes: A particle oscillating on the end of an elastic string
Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos
Show that command word: binomial coefficient identity
I am in SS 3. Set me a 'show that' question involving binomial coefficients, such as showi
Show that command word: logarithm laws
I am in SS 3. Set me a 'show that' logarithm question where I must use the laws of logarit
Prove that tanx + 1/tanx = 1/(sinx cosx)
I am in SS 3. Give me the 'prove that' identity tanx + 1/tanx = 1/(sinx cosx) as a structu
Complex number arithmetic practice #5
I am in SS 3. Give me a complex number problem where z1 = -2 + 3i and z2 = 1 + i, find z1
Simplifying an expression before solving an equation
I am in SS 3. Quiz me with 3 short Additional Maths questions on why it is often worth ful
Inequality word problem with a real-life constraint
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on a wo
Solving an equation formed by equating two algebraic fractions
I am in SS 3. I'm going to explain solving an equation where two algebraic fractions are s
What a function is and function notation
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on what
Evaluating a function at a given value
I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Evaluating a function at a negative value
I am in SS 3. Teach me evaluating a function at a negative input value, such as finding f(
Domain of a simple algebraic function
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on find
Domain of a function involving a square root
I am in SS 3. Teach me finding the domain of a function involving a square root, such as f
Mapping diagrams and function types
I am in SS 3. I'm going to explain how a mapping diagram represents a function, and identi
Composite functions fg(x)
I am in SS 3. Teach me finding a composite function fg(x), meaning applying g first then f
Composite functions gf(x)
I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Verifying an inverse function is correct
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on veri
Domain and range of an inverse function
I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Graphs of a function and its inverse as reflections
I am in SS 3. Teach me why the graph of a function and the graph of its inverse are reflec
Self-inverse functions
I am in SS 3. Quiz me with 3 short Additional Maths questions on what it means for a funct