Trigonometric Identities + Unit Circle basics

derivative tan(x)

sec²(x)

derivative cot(x)

-csc²(x)

derivative sec(x)

sec(x)tan(x)

derivative csc(x)

-csc(x)cot(x)

derivative arcsin(x)

1/√(1-x²)

derivative arccos(x)

-1/√(1-x²)

derivative arctan(x)

1/1+x²

derivative arccot(x)

-1/1+x²

derivative arcsec(x)

1/x√(x²-1)

derivative arccsc(x)

-1/x√(x²-1)

tan(x)

sin(x)/cos(x)

csc(x)

1/sin(x)

sec(x)

1/cos(x)

cot(x)

1/tan(x)

π/6

√ 3/2, ½

π/4

√ 2/2, √ 2/2

π/3

½ , √ 3/2

log(1)

0

ln(1)

0

e⁰

1

cos(x+y)

cos(x)cos(y) - sin(x)sin(y)

sin(x+y)

sin(x)cos(y) + sin(y)cos(x)

e^infinity

infinity

e^-infinity

0

ln(infinity)

infinity

ln(-infinity)

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