A Few Good Trig Identities
Geometry
Level
2
\[ \dfrac { 1 }{ 1+\sin^{2} {x} } +\dfrac { 1 }{ 1+\cos^{2} {x} } +\dfrac { 1 }{ 2+\tan ^{2} {x} } +\dfrac { 1 }{ 2+\cot ^{ 2 }{ x } } \]
For all \(x\) on the domain of the \(\tan x\) and \(\cot x,\) what is the value of the expression above?
by
Vitor Santos