Question

(1-tanA)^2 + (1-cotA)^2 = (secA-cosecA)^2

Answer 1

Hope it will help you!

Answer 2

sec²A+cosec²A-(2tanA+2cotA)=sec²A+cosec²A -(2 x secA x cosecA)
2(tanA+cotA)=2xsecAxcosecA
tanA+cotA=secA x cosecA