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Gretel
Mathematics
21 February, 05:25
Prove csc^4x-2csc^2x+1=cot^4x
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Salinas
21 February, 05:39
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csc^4 x - 2 csc² x + 1 =
= 1 / sin^4 x - 2 / sin² x + 1 =
= (1 - 2 sin² x + sin^4 x) / sin^4 x =
= (sin² x - 1) ² / sin^4 x =
= (cos² x) ² / sin^4 x = cos^4 x / sin^ 4 x = cot ^4 x
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