Question

Prove this problem as soon as possible ​

Answer 1

Step-by-step explanation:

(sin α + cosec α)² + (cos α + sec α)² = tan²α + cot²α + 7

L.H.S : (sin α + cosec α)² + (cos α + sec α)²

   = [sin²α + cosec²α + 2 sin α cosec α] + [cos²α + sec²α + 2 cos α sec α]

   = sin²α + cos²α + 2 + 2 + cosec²α + sec²α

   = 1 + 4 + (1 + cot²α) + (1 + tan²α)

   = tan²α + cot²α + 7

R.H.S : tan²α + cot²α + 7

∴ L.H.S = R.H.S (Proved)

Hope, it will help you........