Functions
This geometric assessment determines if a graph represents a function by checking if any vertical line intersects it more than once.
Vertical Line Test
This is the exact value of sin(5pi/6)
1/2
This is the exact value of sin(15 degrees)
This is the simplified equivalent of (1 - cos^2x)(csc^2x)
1
Mr. Liang sent a physics teacher to this department in a rap battle.
History
If a function satisfies the algebraic condition f(-x) = f(x) for all x in its domain, its graph is symmetric with respect to the y-axis, giving it this classification.
even function
If sinA = 5/13 in a right triangle, this is the exact value of cosA
12/13
This is the exact value of cos(7pi/12)
(sqrt(2) - sqrt(6)) / 4
If sin(theta) = 4/5 and theta is an acute angle in Quadrant I, this is the exact value of sin(2*theta). (The answer is a fraction.)
24/25
Her vintage aesthetic is giving 1960s but the lyrics are fully unhinged. She had the entire summer on lock saying she’s working late 'cause she's a singer. Who is this short king magnet?
Sabrina Carpenter
For the parent rational function f(x) = 1/x, the line x = 0 represents this specific type of boundary that the graph approaches but never reaches.
vertical asymptote
This is the radian measure of an angle measuring 24 degrees, reduced to the simplest fraction.
2pi/15
This value is equivalent to the condensed form of cos(80)cos(20) + sin(80)sin(20). (All numbers here are in degrees.)
1/2
The expression tan(-x) * cos(-x) simplifies to this expression.
-sin(x)
If your page is currently a battleground of metrics like "6-7" or calculating the exact combat output of 100 industrial workers versus a silverback, you are deep in the algorithmic trenches of which platform?
TikTok
Given f(x) = x² and g(x) = x - 2, this is the simplified, expanded polynomial equation that represents the composite function f(g(x)).
x² - 4x + 4
This is the exact period of a weight oscillating in simple harmonic motion modeled by the equation d = 5sin((pi/3)*t), where t is in seconds.
6 seconds
-56/65
sqrt(2 + sqrt(2)) / 2
The cultural reset was insane. She bypassed the entire R&B meta, equipped a cowboy hat, and effortlessly farmed 9 Grammy nominations in a single patch just to flex.
Beyonce
The inverse function of y = (3x+2)/(x-5)
f^-1(x) = (5x+2)/(x-3)
A stone is dropped in a calm lake, causing waves to form. The up-and-down motion of a point on the surface of the water is modeled by damped harmonic motion. After 20 seconds, the amplitude has been reduced by 65%. Find the damping constant to the nearest ten-thousandth.
0.0525
This is the exact value of tan(105 degrees)
-2 - sqrt(3)
or
(sqrt(3) + 1) / (1 - sqrt(3))
When factoring the expression sec^4x - tan^4x, it simplifies to this expression.
sec^2(x) + tan^2(x)
When the dopamine receptors are fully fried from 14 hours of infinite scrolling, and your internal monologue is unironically just the geometric sequence of a camera-headed toilet singing in Ohio, what is the clinical term for your cooked attention span?
Brainrot