Question

Prove that sin-cos+1 = cosec​

Answer 1

Answer:

Solution :

L.H.S. = (sin4θ – cos4θ +1) cosec2θ

= [(sin2θ – cos2θ) (sin2θ + cos2θ) + 1] cosec2θ = (sin2θ – cos2θ + 1) cosec2θ [Because sin 2θ + cos2θ =1]

= 2sin2θ cosec2θ [Because 1– cos 2θ = sin2θ ]

= 2 = RHS