Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,334 prompts matching "Teach me the basic trigonometric identities"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Mapping diagrams and function types
I am in SS 3. I'm going to explain how a mapping diagram represents a function, and identi
Subscribe to unlock allComposite functions fg(x)
I am in SS 3. Teach me finding a composite function fg(x), meaning applying g first then f
Subscribe to unlock allGraphs 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
Subscribe to unlock allMulti-part function exam question
I am in SS 3. Teach me a Cambridge/Additional Maths style multi-part function question tha
Subscribe to unlock allFunction notation applied to a real-world formula
I am in SS 3. I'm going to explain interpreting a real-world formula, such as cost as a fu
Subscribe to unlock allExplaining function notation to a classmate
I am in SS 3. I'm going to explain explaining function notation and what f(x) really means
Subscribe to unlock allFunction machines as an introduction to function notation
I am in SS 3. Teach me using the idea of a 'function machine' with an input and output to
Subscribe to unlock allShow 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
Subscribe to unlock allStructured question: solve a trig equation for all solutions in range
I am in SS 3. Give me a structured question asking me to solve a trigonometric equation an
Subscribe to unlock allWAEC exam question: rate of change problem
I am in SS 3. Give me a WAEC-style Further Maths question involving a rate of change, such
Subscribe to unlock allSolve 2sin(x) + 1 = 0 for 0 to 360 degrees
I am in SS 3. Give me the trigonometric equation 2sin(x)+1=0 to solve for all values of x
Subscribe to unlock allSolve 2cos^2(x) - cos(x) - 1 = 0 for 0 to 360 degrees
I am in SS 3. Give me the quadratic trigonometric equation 2cos^2(x)-cos(x)-1=0 to solve f
Subscribe to unlock allProve that (1-cos^2x)/sinx = sinx
I am in SS 3. Give me the 'prove that' identity (1-cos^2x)/sinx = sinx as a structured que
Subscribe to unlock allProve 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
Subscribe to unlock allLearn: Converting a weight given in kilogram-force into newtons
You are my personal SS3 Further Mathematics tutor. Teach me converting a weight given in k
Subscribe to unlock allLearn: A space diagram and a force diagram drawn side by side
You are my personal SS3 Further Mathematics tutor. Teach me a space diagram and a force di
Subscribe to unlock allLearn: What an unclosed polygon of forces tells you
You are my personal SS3 Further Mathematics tutor. Teach me what an unclosed polygon of fo
Subscribe to unlock allLearn: Differentiating sin of a multiple of x
You are my personal SS3 Further Mathematics tutor. Teach me differentiating sin of a multi
Subscribe to unlock allLearn: Integrating a polynomial term by term
You are my personal SS3 Further Mathematics tutor. Teach me integrating a polynomial term
Subscribe to unlock allLearn: Newton's second law written as F equals ma
You are my personal SS3 Further Mathematics tutor. Teach me Newton's second law written as
Subscribe to unlock all