Question

(sinA+cosecA)²+(cosA+secA)²=7tan²A+cot²A
equalize the LHS and RHS​

Answer 1

Answer:

LHS

sin²A+1/sin²+2+Cos²A+1/Cos²A +2

sin²A+Cos²A +1/sin²A+1/cos²A+4

1+(sin²A+cos²A)/cos²Asin²A +4

5+1/sin²Acos²A.

5+cosec²A sec²A. [cosec²A=1+cot²A, ]

5+(1+cot²A)(1+tan²A)

5+1+cot²A+tan²A+1

7+cot²A+tan²A

proved.