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Senx (cosecx - senx) / tanx = ctgx - 1?

Senx (cosecx - senx) / tanx = ctgx - 1.

En resumen

Senx ( cscx - senx ) / tanx = ctg x - 1 ( senx * cscx - senx * senx ) / tanx = ctgx - 1 (senx * cscx - senx * senx ) = tanx * ctgx - tanx ( 1 - senx * senx ) = 1 - tanx cos ^ 2x = 1 - tanx tanx = 1 - cos ^ 2x tanx = sen ^ 2x senx / cosx = sen ^ 2x 1 = senx * cosx.

Mejor respuesta

Mnpa
4

Senx ( cscx - senx ) / tanx = ctg x - 1

( senx * cscx - senx * senx ) / tanx = ctgx - 1

(senx * cscx - senx * senx ) = tanx * ctgx - tanx

( 1 - senx * senx ) = 1 - tanx

cos ^ 2x = 1 - tanx

tanx = 1 - cos ^ 2x

tanx = sen ^ 2x

senx / cosx = sen ^ 2x

1 = senx * cosx.