anonymous
  • anonymous
tan theta = 20/21. Find sin(2theta) if theta is between pi and 2pi/3 PLEASE HELP. THANK YOU!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Do you know what Sin(2theta) is equal to. Recall your trig identites.
anonymous
  • anonymous
2sin theta cos theta
anonymous
  • anonymous
Good :) .

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anonymous
  • anonymous
Now draw a triangle.
anonymous
  • anonymous
Ok
anonymous
  • anonymous
But be careful. It says Theta is between pi and 2pi/3 . Do you know what quadrant that refers to?
anonymous
  • anonymous
Third right?
anonymous
  • anonymous
Good job!
anonymous
  • anonymous
wait 2nd?
anonymous
  • anonymous
No it's 3rd :) .
anonymous
  • anonymous
oh ok
anonymous
  • anonymous
i thought it was 4pi/3 in third...
anonymous
  • anonymous
No it's 2pi/3 :) .
anonymous
  • anonymous
Ohh wait!!!
anonymous
  • anonymous
ok
anonymous
  • anonymous
shouldn't the 270 degrees be 3pi/2?
anonymous
  • anonymous
yeah. My mistake XD .
anonymous
  • anonymous
I was about to fix that.
anonymous
  • anonymous
lol everyone makes mistakes
anonymous
  • anonymous
I probably lured you to make the mistake when i first said it was in the 3rd quad
anonymous
  • anonymous
|dw:1370234482053:dw|
anonymous
  • anonymous
right. got that
anonymous
  • anonymous
Na, it was my fault for no remembering the unit circle lol.
anonymous
  • anonymous
kk. so You need to draw a triangle in quadrant 3.
anonymous
  • anonymous
still 3?
anonymous
  • anonymous
It says Tan theta which is adjacent/hypotenuse.
anonymous
  • anonymous
Whoops. 2 sorry.
anonymous
  • anonymous
right
anonymous
  • anonymous
>.< .
anonymous
  • anonymous
no
anonymous
  • anonymous
opposite/adjacent.
anonymous
  • anonymous
omg my mistake this tme it is 3
anonymous
  • anonymous
I am drunk toady...
anonymous
  • anonymous
Sigh...
anonymous
  • anonymous
me too...
anonymous
  • anonymous
that was my mistake though
anonymous
  • anonymous
anyway so opp/adj right
anonymous
  • anonymous
yep!
anonymous
  • anonymous
So Vertically the triangle is down by 20 and horizontally by 21.
anonymous
  • anonymous
and i did get the hypoteneuse. Its 29
anonymous
  • anonymous
good.
anonymous
  • anonymous
and so i know sin too. Its 20/29
anonymous
  • anonymous
Now you can find sin(theta) and cos(theta) from that.
anonymous
  • anonymous
but i don't know how to get sin 2theta
anonymous
  • anonymous
No need. We changed the question.
anonymous
  • anonymous
huh?
anonymous
  • anonymous
We said Sin(2theta) is 2sin(theta)cos(theta) . Those are equivalent.
anonymous
  • anonymous
oh!!!!! WOW you are my life saver
anonymous
  • anonymous
Haha no problem :) .
anonymous
  • anonymous
that was awesome Thanks a lot.
anonymous
  • anonymous
No problem :) .
anonymous
  • anonymous
you saved my final exam tommorrow. Thanks again!
anonymous
  • anonymous
Anytime! Good luck!
anonymous
  • anonymous
ty. Bye!

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