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Further Mathematics

AI prompts for senior secondary learners.

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1,308 prompts matching "Proving a logarithmic identity from the laws"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Solve log2(x+1) + log2(x-1) = 3 with full working

I am in SS 3. Give me the logarithmic equation log2(x+1) + log2(x-1) = 3 as a structured e

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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

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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

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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

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Give me an exam formula sheet for indices

I am in SS 3. Build me a short formula sheet covering every formula I need for the laws of

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Give me an exam formula sheet for logarithms

I am in SS 3. Build me a short formula sheet covering every formula I need for the laws of

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Give me an exam formula sheet for trigonometric identities and equations

I am in SS 3. Build me a short formula sheet covering every formula I need for proving ide

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Give me a past-paper style question bank for quadratic factorisation

I am in SS 3. Give me a bank of four exam-style questions on factorising quadratic trinomi

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Give me a past-paper style question bank for solving quadratics by factorisation

I am in SS 3. Give me a bank of four exam-style questions on solving quadratic equations b

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Give me a past-paper style question bank for sum and product of roots

I am in SS 3. Give me a bank of four exam-style questions on sum and product of roots, ran

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Give me a past-paper style question bank for quadratic inequalities

I am in SS 3. Give me a bank of four exam-style questions on solving quadratic inequalitie

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Give me a past-paper style question bank for linear-quadratic simultaneous equations

I am in SS 3. Give me a bank of four exam-style questions on linear-quadratic simultaneous

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Give me a past-paper style question bank for line and curve tangency conditions

I am in SS 3. Give me a bank of four exam-style questions on conditions for a line to be t

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Give me a past-paper style question bank for polynomial operations

I am in SS 3. Give me a bank of four exam-style questions on adding, subtracting and divid

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Give me a past-paper style question bank for cubic equations

I am in SS 3. Give me a bank of four exam-style questions on solving cubic equations, rang

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Give me a past-paper style question bank for functions

I am in SS 3. Give me a bank of four exam-style questions on composite and inverse functio

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Give me a past-paper style question bank for surds

I am in SS 3. Give me a bank of four exam-style questions on simplifying and rationalising

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Give me a past-paper style question bank for coordinate geometry

I am in SS 3. Give me a bank of four exam-style questions on lines and circles in coordina

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Give me a past-paper style question bank for sequences and series

I am in SS 3. Give me a bank of four exam-style questions on arithmetic and geometric prog

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Give me a past-paper style question bank for propositional logic

I am in SS 3. Give me a bank of four exam-style questions on propositions, truth tables an

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