Question

True or false: tan(pi/2 - x) = cot x

Answer 1

Let me give you a list of 'cofunctions'

sin( pi/2 - x ) = cos x
cos( pi/2 - x ) = sin x
sec( pi/2 - x ) = cosec x
cosec( pi/2 - x ) =sec x
tan( pi/2 - x ) = cot x
cot( pi/2 - x ) = tan x

Answer 2

note that cos is short for cosine, that indicates its the cofunction of sine

cot is short for cotangent, which is the cofunction of tangent