Question

prove that Sin A + cosec is ka whole square + Cos A + sec a whole square is equal to 7 tan square A + cos square A group that

Answer 1

when we square, we get

sin^2 A + cosec^2 A + 2*sin A* cosecA + cos^2 A + sec^2 A + 2 secA* cosA

as we know we can write,

cosec^2 A = 1 + cot^2 A & sec^2 A = 1+ tan^2 A & sin^2 A+ cos^2 A = 1

& sin A* cosec A = 1 = sec A* cos A

hence

1+1+ cot^2 A + 2 + 1+ tan^2 A + 2

7 + tan^2 A + cot^2 A

hence proved