Question

Prove that (sin A + cosec A)2 + (cos A + sec A)2 = 7 + tan? A + cot? A.​

Answer 1

Answer:

=[(sin²A + cosec²A +2(sinA)(cosecA)] [(cos²A)+(sec²A)+2(cosA)(secA)]

=sin²A +cosec²A+2+cos²A+sec²A+2

=1+cosec²A+sec²A+4

=5+1+cot²A+1+tan2A

=7+cot²A+tan2A