Prove the trigonometric identity.
tanx+cotx
_________ =sec^2x
csc x cos x
__= sec^2x
__= sec^2x
__ = sec^2x
__= sec^2x
__ = sec^2x
1/cos^2x=sec^2x
sec^2x=sec^2x
tan x + cot x
___________ =
csc x cos x
(sin x / cos x) + (cos x / sin x)
_________________________ =
(1/sin x) * cos x
sin x / cos x cos x / sin x
____________ + ___________ =
cos x / sin x cos x / sin x
(sin x / cos x) ( sin x / cosx) + 1 =
sin^2 x
_________ + 1 =
cos^2 x
tan^2 x + 1 =
sec^2 x