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Inverse and Hyperbolic Trig Formulas (6.6/6.7)

Terms in this set (33)

domain of arcsin
-1≤x≤1
domain of arccos
-1≤x≤1
domain of arctan
all real numbers
domain of arccot
all real numbers
domain of arcsec
x≤-1 or x≥1
domain of arccsc
x≤-1 or x≥1
range of arcsin
-π/2≤y≤π/2
range of arccos
0≤y≤π
range of arctan
-π/2≤y≤π/2
range of arccot
0<y<π
range of arcsec
0≤y≤π/2 or π/2≤y≤π
range of arccsc
-π/2≤y≤0 or 0≤y≤π/2
derivative of arcsin
1/√1-x²
derivative of arccos
-1/√1-x²
derivative of arctan
1/1+x²
derivative of arccsc
-1/x√x²-1
derivative of arcsec
1/x√x²-1
derivative of arccot
-1/1+x²
sinh x
eⁿ-e⁻ⁿ/2
cosh x
eⁿ+e⁻ⁿ/2
tanh x
sinh x/cosh x
coth x
cosh x/sinh x
sech x
(cosh x)⁻¹
csch x
(sinh x)⁻¹
sinh and cosh identity
cosh²x-sinh²x=1
sech and tanh identity
sech²x=1-tanh²x
csch and coth identity
csch²x=coth²x-1
derivative of sinh x
cosh x
derivative of cosh x
sinh x
derivative of tanh x
sech²x
derivative of coth x
-csch²x
derivative of sech x
-sech x · tanh x
derivative of csch x
-csch x · coth x
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