Question

Verify the identity
cot(0 - pi/2)= -ta 0
the 0 has - in them

Answer 1

`\cot\left(\theta+(\pi)/(2)\right)=-\tan\theta\\\\We\ know:\\\\\sin\left(x+(\pi)/(2)\right)=\cos x\\\\\cos\left(x+(\pi)/(2)\right)=-\sin x\\\\\tan x=(\sin x)/(\cos x)\\\\\cot x=(\cos x)/(\sin x)\\---------------\\\L=\cot\left(\theta+(\pi)/(2)\right)=(\cos\left(\theta+(\pi)/(2)\right))/(\sin\left(\theta+(\pi)/(2)\right))=(-\sin\theta)/(\cos\theta)=-\tan\theta=R\\\\\boxed{ }`