Question

prove that (sinA+cosecA)^+(cosA+secA)^=7+tan^A+cot^A

Answer 1

Answer:

Step-by-step explanation:

LHS:( sinA + cosecA)²+ (cosA + secA)²=sin²A + cosec²A + 2 sinA*cosecA + cos²A +sec²A +2 cosA*secA. =(Sin²A + cos²A) + cosec²A + 2 sinA*1/sinA + sec²A + 2 cosA *1/cosA =1+(1+cot²A) +2+ (1+tan²A) +2 =7+ tan²A + cot²A. =RHS