Verify the identity. tan x plus pi divided by two = -cot x

Given data  sin (x+pi/2)=cos xnow using sin lawsin(a+b)=sin(a)cos(b)+cos(a)sin(b)now using above valuessin(pi/2+x)=sin(pi/2)cos(x)+cos(pi/2)sin(x)as we know thatsin(pi/2)=1cos(pi/2)=0now putting these valuessin(pi/2+x)=1*cosx+0*1sin(pi/2+x)=cosxhence proved thatsin (x+pi/2)=cos x