Math, asked by mridulay9, 15 hours ago

Solve: (sin⁴theta- cos⁴theta + 1) cosec²theta
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Answers

Answered by abhi2006ps
0

Step-by-step explanation:

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

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