Question

my question sole it and with statement

Answer 1

Answer:

Here"s your answer

Step-by-step explanation:

[tex] (cotA+secB)^{2}-(tanB-cosecA)^{2}\\

=cot^{2}A+sec^{2}B +2cotAsecB-tan^{2}B-cosec^{2}A+2tanBcosecA\\

=cot^{2}A-cosec^{2}A+sec^{2}B-tan^{2}B+2(cotAsecB+tanBcosecA)\\

=-1+1+2(cotAsecB+tanBcosecA) \: since\:sec^{2}B-tan^{2}B=1\:cosec^{2}A-cot^{2}A=1\\

=2(cotAsecB+tanBcosecA) \\

Hence\:Proved[\tex]

Hope it helps