6.2 Trigonometric Functions: Unit Circle Approach/78: Difference between revisions
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<math>\theta \rightarrow (5, -12)</math><br><br> | <math>\theta \rightarrow (5, -12)</math><br><br> | ||
<math> \theta \rightarrow x=5, \, y=-12, \, r=\,? </math | <math> \theta \rightarrow x=5, \, y=-12, \, r=\,? </math> | ||
<br> | |||
<math> | <math> | ||
\begin{align} | \begin{align} | ||
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\end{align} | \end{align} | ||
</math> | </math><br><br> | ||
<math> \theta \rightarrow x=5, \, y=-12, \, r=13 </math><br> | <math> \theta \rightarrow x=5, \, y=-12, \, r=13 </math><br><br> | ||
<math> | <math> | ||
\begin{align} | \begin{align} | ||
\sin{(\theta)} &= \frac{-12}{13} & \csc{(\theta)} &= \frac{ | \sin{(\theta)} &= \frac{-12}{13} & \csc{(\theta)} &= \frac{13}{-12}\\[2ex] | ||
\cos{(\theta)} &= \frac{5}{13} & \sec{(\theta)} &= \frac{13}{5}\\[2ex] | |||
\tan{(\theta)} &= \frac{-12}{5} & \cot{(\theta)} &= \frac{5}{-12} \\[2ex] | |||
\end{align} | \end{align} | ||
</math> | </math> | ||
Latest revision as of 17:05, 26 August 2022
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \theta \rightarrow (5, -12)}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \theta \rightarrow x=5, \, y=-12, \, r=\,? }
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \begin{align} (5)^2+(-12)^2 &= r^2 \\ 25+144 &= r^2 \\ 169 &= r^2 \\ \sqrt{169} &= \sqrt{r^2}\\ 13 &= r \\ \end{align} }
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \theta \rightarrow x=5, \, y=-12, \, r=13 }
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \begin{align} \sin{(\theta)} &= \frac{-12}{13} & \csc{(\theta)} &= \frac{13}{-12}\\[2ex] \cos{(\theta)} &= \frac{5}{13} & \sec{(\theta)} &= \frac{13}{5}\\[2ex] \tan{(\theta)} &= \frac{-12}{5} & \cot{(\theta)} &= \frac{5}{-12} \\[2ex] \end{align} }