My Tier List Of Trigonometric Identities

The forbidden love story between i-hat and j-hat, the unit vectors of coordinate systems everywhere. One's a simple (1,2) while the other's a complicated (2,50) - talk about dating outside your orthogonal basis! Their relationship will never work because they're not perpendicular to each other. The cross product of their love would yield a vector pointing in some weird direction that makes mathematicians uncomfortable. This is what happens when vectors ignore the fundamental rules of orthonormality!

The mathematical universe is a chaotic place! While addition gets a civilized round-table discussion with everyone politely agreeing on a single "+" symbol, multiplication descends into absolute MAYHEM! Five different notations (AB, A·B, A×B, A*B, A(B)) and mathematicians are literally wrestling in the mud over which one to use! It's like mathematicians built this beautiful logical language and then couldn't decide which punctuation to use! No wonder students get confused! Next time your professor says "math is elegant and consistent," just show them this and watch them twitch uncontrollably! *mad scientist cackle*

The face of pure joy when you actually solve those viral "genius-level" math puzzles! First panel: confused cat staring at algebra. Second panel: PURE ELATION after figuring out z + x + y = 27! From the system of equations, x = 20, y = 10, and z = 3.5. That moment when the numbers finally click and you feel like you've unlocked the secrets of the universe with basic algebra. Math euphoria is REAL!

Ever tried to follow a mathematical proof only to feel like you're being pranked? 🤓 This gem exposes the secret arsenal mathematicians use to make you feel inadequate! My personal favorite: "Proof by ghost reference" - citing page 478 in a 396-page book. GENIUS! It's like telling someone their birthday present is hidden in your pocket while wearing shorts! And don't get me started on "proof by avoidance" - that beautiful mathematical strip tease where they keep promising to show you the goods but NEVER DO. "It's in Appendix C!" *flips to Appendix C* "Too complicated for this book, but trust us!" 🤦‍♂️ Next time your professor pulls one of these stunts, just nod knowingly and whisper "circular argument technique detected!" Then run away cackling!

When calculus starts using existential crises as a teaching tool. This question literally asks you to calculate the volume of your sleep-deprived hallucination by rotating a parabola around the x-axis. Nothing says "education" quite like making you solve for the mathematical boundaries of your own psychological breakdown at 6am. The professor who wrote this probably giggled for hours while sipping cold coffee in a dimly lit office.

When math nerds watch "The Matrix" and realize they've been lied to their entire academic careers. No eigenvalues? No determinants? Just people in leather coats doing impossible backflips? The betrayal! That face is the exact moment when they realize Hollywood didn't consult a single linear algebra textbook before naming the movie. They're sitting there with popcorn waiting for Keanu Reeves to diagonalize a matrix, and instead he's just dodging bullets in slow motion. The mathematical disappointment is immeasurable.