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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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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

Composite functions fg(x)

I am in SS 3. Teach me finding a composite function fg(x), meaning applying g first then f

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

Multi-part function exam question

I am in SS 3. Teach me a Cambridge/Additional Maths style multi-part function question tha

Function 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

Explaining function notation to a classmate

I am in SS 3. I'm going to explain explaining function notation and what f(x) really means

Function 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

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

Structured 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

WAEC 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

Solve 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

Solve 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

Prove 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

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

Learn: 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

Learn: 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

Learn: What an unclosed polygon of forces tells you

You are my personal SS3 Further Mathematics tutor. Teach me what an unclosed polygon of fo

Learn: Differentiating sin of a multiple of x

You are my personal SS3 Further Mathematics tutor. Teach me differentiating sin of a multi

Learn: Integrating a polynomial term by term

You are my personal SS3 Further Mathematics tutor. Teach me integrating a polynomial term

Learn: 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

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