1,326 prompts matching "Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360"
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Practice: The condition for a quadratic equation to have equal roots
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the condition
Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original
Act as my SS3 Further Mathematics tutor. Work a question on forming a new equation whose r
Quiz: The compound angle formula for sine of A plus B
Act as my SS3 Further Mathematics tutor and quiz me on the compound angle formula for sine
Spot My Mistake: The double angle formula for sine
Act as my SS3 Further Mathematics tutor. Work a question on the double angle formula for s
Show All Working: Solving a cos x plus b sin x equals c by the R method
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on solving a
Common Mistakes: Giving the general solution of a trigonometric equation
Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos
Worked Example: The shape, period and range of the cosine curve
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the sh
Show All Working: Reading the solutions of a trigonometric equation off a graph
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on reading th
Practice: The triangle of velocities for a boat crossing a river
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the triangle o
Solve a 3x3 system using the inverse matrix method #2
I am in SS 3. Show me how to solve the system 2x+y-z=5, x-y+2z=1, 3x+2y+z=10 by writing it
Compare WAEC and Cambridge phrasing for the same topic
I am in SS 3. Pick one topic covered so far and show me how a WAEC Further Maths question
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
Resolve a force into horizontal and vertical components #1
Give me a resolution of forces problem with a force of 10N acting at 30 degrees to the hor
Resolve a force into horizontal and vertical components #2
Give me a resolution of forces problem with a force of 25N acting at 50 degrees above the
Resolve a force into horizontal and vertical components #3
I am in SS 3. Give me a resolution of forces problem with a force of 18N at 40 degrees to
Resolve a force into horizontal and vertical components #4
I am in SS 3. Give me a resolution of forces problem with a force of 12N at 70 degrees to
Solve a quadratic equation with complex roots #2
I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 - 2x + 5 = 0
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
Structured question: trig equation with a coefficient inside the angle
I am in SS 3. Give me a structured trigonometric equation question where the angle inside
WAEC exam question: forming a quadratic equation from a word problem
I am in SS 3. Give me a WAEC-style Further Maths word problem, such as one about two numbe