What is the value of $\frac{cotθ+cosecθ-1}{cotθ-cosecθ+1}$

2 secθ 2 cosecθ 2 cot θ (cosecθ + cot θ)

(cosecθ + cot θ)

$\frac{cotθ+cosecθ-1}{cotθ-cosecθ+1}$ ( Using,  cosec²θ - cot²θ =  1 }  = $\frac{cotθ+cosecθ- (cosec²θ - cot²θ )}{cotθ-cosecθ+1}$  = $\frac{cotθ+cosecθ-[ (cosecθ - cotθ). (cosecθ +cotθ)]}{cotθ-cosecθ+1}$ = $\frac{cotθ+cosecθ-[ 1 -  cosecθ +cotθ]}{cotθ-cosecθ+1}$ = cotθ+ cosecθ