Mathematics: Important [how do you]find sin theta if tan theta = 3/4

Important [how do you]find sin theta if tan theta

Ответ:

michaellagann2020

15.03.2022

$\bf tan(\theta )=\cfrac{\stackrel{opposite}{3}}{\stackrel{adjacent}{4}}\impliedby \textit{let's find the \underline{hypotenuse}}
\\\\\\
\textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
c=\sqrt{3^2+4^2}\implies c=5
\\\\\\
sin(\theta )=\cfrac{\stackrel{opposite}{3}}{\stackrel{hypotenuse}{5}}$

bear in mind that, though the square has two valid roots, one negative and one positive, the hypotenuse is just a radius distance, and therefore is never negative.

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Ответ:

mrgutierrez1

21.05.2022

Mathematics

I don't know I'm only in 3rd grade Grade And I'm using google voice

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Important [how do you]find sin theta if tan theta = 3/4

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