Trigonometría - identidades trigonometricas

Función	sin	cos	tan	csc	sec	cot
$sinθ =$	$sin theta$	$sqrt{1 - cos^2theta}$	$frac{tantheta}{sqrt{1 + tan^2theta}}$	$frac{1}{csc theta}$	$frac{sqrt{sec^2 theta - 1}}{sec theta}$	$frac{1}{sqrt{1+cot^2theta}}$
$cosθ =$	$sqrt{1 - sin^2theta}$	$cos theta$	$frac{1}{sqrt{1 + tan^2 theta}}$	$frac{sqrt{csc^2theta - 1}}{csc theta}$	$frac{1}{sec theta}$	$frac{cot theta}{sqrt{1 + cot^2 theta}}$
$tanθ =$	$frac{sintheta}{sqrt{1 - sin^2theta}}$	$frac{sqrt{1 - cos^2theta}}{cos theta}$	$tan theta$	$frac{1}{sqrt{csc^2theta - 1}}$	$sqrt{sec^2theta - 1}$	$frac{1}{cot theta}$
$cscθ =$	${1 over sin theta}$	${1 over sqrt{1 - cos^2 theta}}$	${sqrt{1 + tan^2theta} over tan theta}$	$csc theta$	${sec theta over sqrt{sec^2theta - 1}}$	$sqrt{1 + cot^2 theta}$
$secθ =$	${1 over sqrt{1 - sin^2theta}}$	${1 over cos theta}$	$sqrt{1 + tan^2theta}$	${csctheta over sqrt{csc^2theta - 1}}$	$sectheta$	${sqrt{1 + cot^2theta} over cot theta}$
$cotθ =$	${sqrt{1 - sin^2theta} over sin theta}$	${cos theta over sqrt{1 - cos^2theta}}$	${1 over tantheta}$	$sqrt{csc^2theta - 1}$	${1 over sqrt{sec^2theta - 1}}$	$cottheta$

Las gráficas de ambas superficies son:

Si las superponemos

Si las giramos un poco respecto al eje Z