Question

(cosecθ-cotθ)²=1-cosθ/1+cosθ​

Answer 1

$\huge\mathcal\colorbox{lavender}{{\color{b}{ꪗour Answer★࿐}}}$

$(cosec \theta - cot \theta) ^{2} \\ = {( \frac{1 - cos \theta}{sin \theta} })^{2} \\ = \frac{ {(1 - cos \theta})^{2} }{ {sin}^{2} \theta } \\ = \frac{ {(1 - cos \theta})^{2} }{1 - {cos}^{2} \theta} \\ = \frac{1 - cos \theta}{1 + cos \theta}$