Simplification [cos (α - π) * cot (5 π - α)] / [sin (- 2 π - α)] ② (1 + cot & # 178; E) (E is the third quadrant angle)

Simplification [cos (α - π) * cot (5 π - α)] / [sin (- 2 π - α)] ② (1 + cot & # 178; E) (E is the third quadrant angle)

[cos (α - π) * cot (5 π - α)] / [sin (- 2 π - α)] = [cos (π - α) * cot (π - α)] / [sin (- α)] = [- cos α (- cot α)] / (- sin α) = - cos α * (COS α / sin α) / sin α = - cot & # 178; under the root of α sine * (1 + cot & # 178; E) = sine * | 1 / sine | = - sin