tan29cot61 - cosec^2 61 + cot^2 54 -sec^2 36 + (sin^2 1 + sin^2 3 + sin^2 5 +........ sin^289)

tan29cot61-cosec²61+cot²54-sec²36+(sin²1+sin²2+.....+sin²89) = cot²61-cosec²61+tan²36-sec²36+(sin²1+sin²2+...+sin²44+sin²45+cos²44+..+cos²2+cos²1) =-(cosec²61-cot²61)-(sec²36-tan²36)+{(sin²1+cos²1)+(sin²2+cos²2)+...+(sin²44+cos²44)+sin²45} =-1-1+{1+1+1+...+1(upto 44) + 0.5} = -2+44+0.5 =42.5