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sin²x+cos²x =
1
1+tan²x=
sec²x
1+cot²x=
csc²x
tan²x=
sec²x-1
cos²x=
1-sin²x
cos²x-1=
-sin²x
lim x→0 (sinx)/x=
1
lim x→0 x/(sinx)=
1
lim x→0 (1-cosx)/x=
0
lim x→0 (-1(cosx-1))/x=
0
lim x→0 (cosx-1)/x=
0