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Identity 1
sin²θ+cos²θ=1
Equivalent of Identity 1 (sin²θ+cos²θ=1)
sin²θ= 1-cos²θ
cos²θ= 1-sin²θ
Identity 2
sec²θ-tan²θ=1
Equivalent to Identity 2
tan²θ=sec²θ-1
tan²θ+1=sec²θ
Identity 3
csc²θ-cot²θ=1
Equivalent to Identity 3 (csc²θ-cot²θ=1)
csc²θ=cot²θ+1
cot²θ=csc²θ-1
sinh(x)
(eˣ-e⁻ˣ)/2
cosh(x)
(eˣ+e⁻ˣ)/2
d/dx sinhx
coshx
d/dx coshx
sinhx
d/dx tanhx
sech²x
d/dx sin⁻¹(x)
1/√1-x²
d/dx tan⁻¹(x)
1/√1+x²
integration by parts formula
∫ u dv = uv - ∫ v du