Sabendo que 4 cos² x + 5 sen x - 5 = 0 e que π/2 < 2 < π, calcule o valor de sen x. Substitua cos² x.... Pergunta de ideia deMalumtt

Malumtt @Malumtt

December 2019 1 153 Report

Sabendo que 4 cos² x + 5 sen x - 5 = 0 e que π/2 < 2 < π, calcule o valor de sen x. Substitua cos² x por 1 - sen² x

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albertrieben Boa tarde Malum

4cos²(x) + 5sen(x) - 5 = 0

4*(1 - sen²(x) + 5sen(x) - 5 = 0

4 - 4sen²(x) + 5sen(x) - 5 = 0

4sen²(x) - 5sen(x) + 1 = 0

delta
d² = 25 - 16 = 9
d = 3

sen(x) = (5 + 3)/8 = 8/8 = 1
sen(x) = (5 - 3)/8 = 2/8 = 1/4

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