dedeee1 dedeee1
  • 01-04-2017
  • Mathematics
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Find the exact values

Find the exact values class=

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jdoe0001 jdoe0001
  • 01-04-2017
so  hmmm notice  [tex]\bf sin(\theta)=\cfrac{opposite}{hypotenuse}\implies sin(\theta)=\cfrac{-4\leftarrow opposite}{5\leftarrow hypotenuse}[/tex]

they hypotenuse, is just the radius, thus is never negative, since it's just a unit

now, check the picture below, that's the angle, and its reference angle

so.. use the pythagorean theorem to get the adjacent side, or "x" value

keeping in mind that [tex]\bf tan(\theta)=\cfrac{opposite}{adjacent} =\cfrac{y}{x} \qquad \qquad sec(\theta)=\cfrac{hypotenuse}{adjacent} =\cfrac{r}{x}[/tex]
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