Question

show that (cosec A-cot A)2=1-cos A/1+cos A

Answer 1

here is your answer..
proof
svsb

Answer 2

${(coseca - cota)}^{2} \\ \\ = {( \frac{1 - cosa}{sina} )}^{2} \\ \\ = {( \frac{2 {sin}^{2} \frac{a}{2}}{2sin \frac{a}{2}cos \frac{a}{2} } )}^{2} \\ \\ = {tan}^{2} \frac{a}{2} \\ \\ = \frac{2 {sin}^{2} \frac{a}{2} }{2 {cos}^{2} \frac{a}{2} } \\ \\ = \frac{1 - cosa}{1 + cosa}$

hope it helps