>tfw still haven't memorized values of trig functions

Just memorize 1/2, root 2 over 2 and root 3 over 2 and think about the unit circle

angle 0 30 45 60 90
sin sqrt(0)/2 sqrt(1)/2 sqrt(2)/2 sqrt(3)/2 sqrt(4)/2
cos sqrt(4)/2 sqrt(3)/2 sqrt(2)/2 sqrt(1)/2 sqrt(0)/2

File: download.jpg (4KB, 246x205px) Image search: [Google]

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>>8780853
Visualise this triangle.
for angle 45 Visualise a right anGlen isosceles.

>>8780860
>>8780863
Or notice the obvious pattern. Sine goes square root of 0->1->2->3->4->3->2->... whereas cosine is 4->3->2->1->0->-1->... Guessing the next values should be obvious, unless you're American.

>>8780853
kek this is me

>>8781040
Obsessed Eurofaggot.

>>8780853
Simple.
-1 =< sin(x) =< 1
-1 =< cos(x) =< 1

>>8780853
>tfw construct 30 60 90 and 45 45 90 triangles in my head and find the value manually
You say this like it's a bad thing.

Rote memorization/mnemonics is the brainlet way.

Knowing how to get the right values is much more important than remembering them off-hand.

>>8782195
Of course it's good to know where they come from but it's better to know them offhand because it's quicker. You aren't going to derive the quadratic formula every time you need to use it.

File: 1.jpg (12KB, 384x201px) Image search: [Google]

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All you need to remember is:
equilateral triangle with length 2
right triangel, catetes with length 1.

And ofcourse basic elementary geometry such as knowing that the sum of all angles in a triangle is 180 and knowing how to calculates tan,sin,cos etc.

And from there you will deduct everything.
Pic related.

[math] \displaystyle
\begin{matrix}
angle & sin & cos \\
0 & \sqrt{0}/2 & \sqrt{4}/2 \\
\pi/6 & \sqrt{1}/2 & \sqrt{3}/2 \\
\pi/4 & \sqrt{2}/2 & \sqrt{2}/2 \\
\pi/3 & \sqrt{3}/2 & \sqrt{1}/2 \\
\pi/2 & \sqrt{4}/2 & \sqrt{0}/2
\end{matrix}
[/math]

>>8782848
I'd often quickly scrawl a derivation of the quadratic formula during an exam, just to make sure I remembered it right.

Better to know you're right than to hope it.