unicwaan
  • unicwaan
Find the the values of cos theta for the angle shown. Can someone walk me through this problem please?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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unicwaan
  • unicwaan
Never mind I'll just explain the drawing. It's a graph that was a terminal point at (4, -square root of 33) so it's in quadrant 3..
unicwaan
  • unicwaan
unicwaan
  • unicwaan
I just have to find the value of cos theta with the given terminal point...

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freckles
  • freckles
@unicwaan find the hyp of that right triangle |dw:1434746333384:dw| once you find the hyp then you find cos(theta) since that is adj/hyp
anonymous
  • anonymous
impressive freckles
unicwaan
  • unicwaan
So would it be the square root of -33 over 4?
myininaya
  • myininaya
no the hyp isn't 4
myininaya
  • myininaya
and the adj isn't -sqrt(33) also -sqrt(33) isn't the same as sqrt(-33)
anonymous
  • anonymous
No. Use a² + b² = c² to find the hypotenuse. then use the cosine formula |dw:1434746621568:dw|
myininaya
  • myininaya
|dw:1434746664322:dw| the hyp is always opposite side the 90 angle
unicwaan
  • unicwaan
Okay I see where I messed up, so the hyp is 7, the sides lengths are 4 and (-\sqrt{33}\)
anonymous
  • anonymous
yes the hypotenuse is 7
anonymous
  • anonymous
cos Θ = adjacent/hypotenuse
unicwaan
  • unicwaan
So how would I tell which one is the adj?
myininaya
  • myininaya
it is the side touching the angle in the picture that isn't the hyp
unicwaan
  • unicwaan
Okay and the angle being created is closest to the origin?
anonymous
  • anonymous
yes
unicwaan
  • unicwaan
OH! So the cos theta would be 4/7?
anonymous
  • anonymous
yes
unicwaan
  • unicwaan
THANK YOU ALL SO MUCH THIS MAKES SENSE!!!!

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