Sabendo que pi/2 < X < pi e cossec x = 4, obtenha tg x, cotg x e sec x Resposta: Tg x = √ / Cotg x .... Pergunta de ideia dePedroAlves

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Sabendo que pi/2 < X < pi e cossec x = 4, obtenha tg x, cotg x e sec x

Resposta: Tg x = √ /

Cotg x = √

Sec x = √ /

MATHSPHIS

$sen x=\frac{1}{cossec x}=\frac{1}{4}$

$cos x=\sqrt{1-sen^2 x}=\sqrt{1-(\frac{1}{4})^2}=\sqrt{\frac{15}{16}}=\frac{\sqrt{15}}{4}$

$tan x=\frac{sen x}{cos x}=\frac{\frac{1}{4}}{\frac{\sqrt{15}}{4}}=\frac{1}{\sqrt{15}}=\frac{\sqrt{15}}{15}$

$cotg x=\frac{1}{tan x}=\frac{15}{\sqrt{15}}=\sqrt{15}$

$sec x=\frac{1}{cos x}=\frac{1}{\frac{\sqrt{15}}{15}}=\sqrt{15}$

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