Differentiability of trigonometric functions #
Main statements #
The differentiability of the usual trigonometric functions is proved, and their derivatives are computed.
Tags #
sin, cos, tan, angle
The complex sine function is everywhere strictly differentiable, with the derivative cos x
.
The complex sine function is everywhere differentiable, with the derivative cos x
.
The complex cosine function is everywhere strictly differentiable, with the derivative
-sin x
.
The complex cosine function is everywhere differentiable, with the derivative -sin x
.
The complex hyperbolic sine function is everywhere strictly differentiable, with the derivative
cosh x
.
The complex hyperbolic sine function is everywhere differentiable, with the derivative
cosh x
.
The complex hyperbolic cosine function is everywhere strictly differentiable, with the
derivative sinh x
.
The complex hyperbolic cosine function is everywhere differentiable, with the derivative
sinh x
.