1,326 prompts matching "Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360"
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Scalar (dot) and vector (cross) product practice #3
I am in SS 3. Give me a vector problem where a = 3i - j + 2k and b = i + 2j - k, find a x
Position vectors and displacement between points #4
I am in SS 3. Give me a vectors problem where I have a point dividing a line AB in a given
Show all working: vector geometry question
I am in SS 3. Give me a Cambridge Additional Mathematics style vector question involving p
Explain parallel and perpendicular vectors
I am in SS 3. Explain how to test whether two vectors are parallel or perpendicular using
WAEC past-question practice: vectors #4
I am in SS 3. Test me with a timed WAEC-style vectors question, give it to me cold, then m
Complex number arithmetic practice #5
I am in SS 3. Give me a complex number problem where z1 = -2 + 3i and z2 = 1 + i, find z1
Teach me complex numbers from scratch
I am in SS 3. Teach me what a complex number is and why i is defined as the square root of
Differentiation practice question #2
I am in SS 3. Give me a differentiation problem where y = (2x+1)(x-3), find dy/dx using th
Differentiation practice question #3
I am in SS 3. Give me a differentiation problem where y = (3x-2)/(x+1), find dy/dx using t
Differentiation practice question #4
I am in SS 3. Give me a differentiation problem where y = (2x-1)^5, find dy/dx using the c
Find and classify stationary points #1
I am in SS 3. Give me a calculus problem where y = x^3 - 3x^2 - 9x + 5, find and classify
Find and classify stationary points #2
I am in SS 3. Give me a calculus problem where y = 2x^3 - 15x^2 + 24x, find the stationary
Find and classify stationary points #3
I am in SS 3. Give me a calculus problem where a curve y = x^2 - 4x + 7, find the minimum
Quiz me on rates of change problems
I am in SS 3. Quiz me with a short rates-of-change word problem involving calculus, such a
WAEC past-question practice: calculus #1
I am in SS 3. Give me a WAEC Further Mathematics past-question on differentiation using th
Projectile motion problem #1
I am in SS 3. Give me a projectile motion problem where a ball is projected at 20 m/s at 3
Projectile motion problem #2
I am in SS 3. Give me a projectile motion problem where a projectile is launched at 25 m/s
Projectile motion problem #3
I am in SS 3. Give me a projectile motion problem where a stone is thrown at 18 m/s at 60
Projectile motion problem #4
I am in SS 3. Give me a projectile motion problem where a ball is projected horizontally a
Explain time of flight and range in projectile motion
I am in SS 3. Explain how to derive the formulas for time of flight and horizontal range o