Answer
The trigonometric Identity is verified.
$tan(\frac{\pi}{2}-θ)tan~θ=1$
Work Step by Step
We know that:
$tan(\frac{\pi}{2}-θ)=cot~θ~~$ (Cofunction Identity, page 508)
$cot~θ=\frac{1}{tan~θ}$
Start at the left side of the equation:
$tan(\frac{\pi}{2}-θ)tan~θ=cot~θ~tan~θ=\frac{1}{tan~θ}~tan~θ=1$
