Tricky Mathematical Concepts Easily Explained In 21 Brilliant GIFs

Math is tough, that’s a fact. Math has been the “downfall” of many students – that’s another fact. There is simply no getting around learning it – or so we thought.

Check out these 21 cool GIFs that can help you visualize some tricky aspects of math. Bet you’ll ace your next exams with these.

 
1. “If an arc of a circle is the same length as its radius, the resulting angle is one radian:”

arc-of-a-circle

via Wikimedia Commons

 
2. “Visualizing sine (red) on the Y axis and cosine (blue) on the X axis. The relative position of the circle is shown in black:”

circle-relative-position

via imgur

 
3. “This shows the same thing, but a bit more simply:”

circle relative position - 1

via Reddit

 
4. “Here’s how sine and cosine apply to triangles:”

triangle-sine-cosine

via imgur

 
5. “Cosine is the derivative of sine:”

cosine-derivative

via Wikimedia Reddit

 
6. “Converting a function from Cartesian to Polar coordinates:”

convert-cartesian-to-polar

via Wikimedia Commons

 
7. How to draw a parabola

draw-a-parabola

via giphy

 
8. “Use FOIL to easily multiply binomials:”

easily-multiply-binomials

via mathcaptain

 

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9. How to create an ellipse

how-to-create-an-ellipsevia giphy
 
10. Hyperbola

hyperbola

via giphy

 
11. “Translating that into 3D, you get a hyperboloid. Believe it or not, it’s made with completely straight lines:”

hyperbloid

via tumblr

 
12. You can even make it do this:

hyperbloid---real

via tumblr

 
13. “Use this trick so you don’t get mixed up when doing matrix transpositions:”

matrix-transpositions

via Wikimedia Commons

 
14. “If you’re studying trig, you better get pretty comfortable with circles. Check out this visualization that shows what you’re really looking at when you deal with pi:”

pi

via imgur

 
15. “Exterior angles of polygons will ALWAYS add up to 360 degrees:”

polygons

via math.stackexchange

 
16. “What the Pythagorean Theorem is really trying to show you:”

pythegorean-theorem

via giphy

 
17. “The Riemann sum is the approximate area under a curve:”

reimann-sum

via giphy

 
18. How to solve logarithms:

solve-algorithms

via imgur

 
19. Tangent lines

tangent-lines

via John Reid │ Wikimedia Commons

 
20. “Flipped on its side, the shape begins to make more sense:”

tangent-lines-1

via imgur

 
21. “Solving pascal triangles”

pascal-triangles

via Hersfold │ Wikimedia Commons