Math, asked by aanandisirivoru, 8 months ago

prove that (sin^4-cos^5+1) cosec^2=2​

Answers

Answered by urviagrawal2p4fmfp
1

Answer:

Proved

Step-by-step explanation:

L.H.S. = (sin4θ – cos4θ +1) cosec2θ

= [(sin2θ – cos2θ) (sin2θ + cos2θ) + 1] cosec2

= (sin2θ – cos2θ + 1) cosec2θ

[Because sin 2θ + cos2θ =1]

= 2sin2θ cosec2θ

[Because 1– cos 2θ = sin2θ ]

= 2 = RHS

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