Answer:
[(cosθ-1)^2]/(sinθ)^2
Step-by-step explanation:
(cotθ-cscθ)^2
(cotθ)^2-2cscθcotθ+(cscθ)^2
(cosθ/sinθ)^2-2(cosθ/(sinθ)^2) +1/(sinθ)^2
All have same denominator, (sinθ)2, add/subtract
((cosθ)^2-2cosθ+1)/(sinθ)^2
Factor the top
[(cosθ-1)^2]/(sinθ)^2