If a(tan +cot )=1, sin +cos =b and 0 < <90 , then the relation between a and b.

• A. $$ {2a={b^2}}+1$$
• B. $$ {b^2=2({a-1}})$$
• C. $$ {2a={b^2-1}}$$
• D. $$ {b^2=2({a+1}})$$