(For the sake of intuition, 1/√0=0)
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I’m not sure I understand your mnemonic. It looks like you’ve got 1/sqrt(3) as one of your exact value for sine and cosine… but that surely isn’t right.
My trick for this was:
0 30 45 60 90 deg --------------------------- 0 1 2 3 4
Sine function of the top equals half the square root of the bottom number. Cosine is just in reverse order.