Notations:
Specific values:
Differential equations:
Pythagoras-like identities:
Opposite angle identities:
Double angle identities:
Triple angle identities:
Half angle identities:
Angle sum and difference identities:
Translation by real quarter-periods:
Translation by imaginary quarter-periods:
Translation by real half-periods:
Translation by imaginary half-periods:
Quarter-turn rotations:
Multiplied by (1±i):
Divided by (1±i):
Indefinite integrals:
Definite integrals:
Inverse functions: