Mathematics: Anick on the edge of a cd rotates to (−6, 5) during one song when represented graphically. what is the sine value of this function?

Anick on the edge of a cd rotates to (−6, 5) during

Ответ:

XxXisaiahXxX

08.01.2022

$\bf sin(\theta)=\cfrac{opposite}{hypotenuse}\\\\
-------------------------------\\\\
\begin{array}{rllll}
(-6&,&5)\\
\uparrow &&\uparrow \\
a&&b\\
x&&y
\end{array}\impliedby \textit{let's find the \underline{hypotenuse}}
\\\\\\
\textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
c=\sqrt{(-6)^2+(5)^2}\implies c=\sqrt{36+25}\implies \boxed{c=\sqrt{61}}
\\\\\\
sin(\theta)=\cfrac{5}{\sqrt{61}}$

now, let's rationalize the denominator

$\bf \cfrac{5}{\sqrt{61}}\cdot \cfrac{\sqrt{61}}{\sqrt{61}}\implies \cfrac{5\sqrt{61}}{(\sqrt{61})^2}\implies \boxed{\cfrac{5\sqrt{61}}{61}}$

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Ответ:

JeroMii

22.11.2020

Mathematics

i want to say the answer is A

Step-by-step explanation:

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Anick on the edge of a cd rotates to (−6, 5) during one song when represented graphically. what is the sine value of this function?

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