Determine o valor da tg x, sabendo que sec x= √5 e 3π/2 .... Pergunta de ideia deMalumtt

Malumtt @Malumtt

December 2019 1 112 Report

Determine o valor da tg x, sabendo que sec x= √5 e 3π/2 <x<2π

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albertrieben Boa noite Malu

sec(x) = √5

cos(x) = 1/√5 = √5/5

cos²(x) + sen²(x) = 1

1/5 + sen²(x) = 5/5

sen²(x) = 5/5 - 1/5 = 4/5

no 4° quadrante 3π/2 <x<2π o sen . negativo

sen(x) = -2√5/5

tg(x) = sen(x)/cos(x) = (-2√5/5)/(√5/5)

tg(x) = -2

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