Mathematics: Find the value of cot(x) if sec(x)=-9/2 , sin(x) 0

Find the value of cot(x) if sec(x)=-9/2 , sin(x)

Ответ:

cotybuge2701

02.01.2022

$\sec x=-\dfrac92\implies\cos x=-\dfrac29$

$\sin^2x+\cos^2x=1\implies\sin x=\pm\sqrt{1-\cos^2x}$
$\sin x$

$\cot x=\dfrac{\cos x}{\sin x}$
$\implies\cot x=\dfrac{-\frac29}{-\frac{\sqrt{77}}9}=\dfrac2{\sqrt{77}}$

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Ответ:

TroyClegg

17.09.2022

Mathematics

I haven't seen my grandma in years too...

Step-by-step explanation:

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