A parent, guardian, or teacher should always be involved when a child uses AI. Please review AI responses together before relying on them.
← Back to Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
Three prompts in each subject are free to try. One subscription opens every subject and every prompt in senior secondary, or subscribe your whole school. Already have a code? Enter it here.
Clear

1,045 prompts matching "Structured question: trig equation with a coefficient inside the angle"

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

Worked example: an AP where the 4th term is 15 and the 9th term is 35, find the first term and common difference

Act as my SS2 Further Maths tutor. Show me a full worked example for this sequences and se

Subscribe to unlock all

Worked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio

Act as my SS2 Further Maths tutor. Show me a full worked example for this sequences and se

Subscribe to unlock all

Worked example: find the gradient of y = x^3 - 4x at the point where x = 2

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

Subscribe to unlock all

Worked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

Subscribe to unlock all

Worked example: find the distance between the points (1,2) and (4,6)

Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome

Subscribe to unlock all

Worked example: find the midpoint of the segment joining (-3,5) and (7,-1)

Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome

Subscribe to unlock all

Worked example: find the centre and radius of the circle x^2+y^2-4x+6y-3=0

Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome

Subscribe to unlock all

Worked example: find the modulus and argument of 3+4i

Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers

Subscribe to unlock all

Worked example: solve x^2+4x+13=0 giving the roots as complex numbers

Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers

Subscribe to unlock all

Worked example: find the determinant of [[5,2],[3,4]]

Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem

Subscribe to unlock all

Worked example: find the inverse of [[2,1],[5,3]]

Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem

Subscribe to unlock all

Worked example: find the magnitude of the vector (3,4)

Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:

Subscribe to unlock all

Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product

Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:

Subscribe to unlock all

Worked example: find the unit vector in the direction of (6,8)

Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:

Subscribe to unlock all

Worked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI

Act as my SS2 Further Maths tutor. Show me a full worked example for this permutations and

Subscribe to unlock all

Worked example: construct the truth table for (p AND q) OR (NOT p)

Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo

Subscribe to unlock all

Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)

Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo

Subscribe to unlock all

Worked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table

Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo

Subscribe to unlock all

Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'

Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo

Subscribe to unlock all

Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q

Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo

Subscribe to unlock all