SOLUTION: Need your help please! If tan θ = -2/3 and angle θ lies in the second quadrant, what is the value of cos θ? Thank you!

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Question 388643: Need your help please!

If tan θ = -2/3 and angle θ lies in the second quadrant, what is the value of cos θ?
Thank you!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If tan θ = -2/3 and angle θ lies in the second quadrant, what is the value of cos θ?
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tan(theta) = y/x and x is negative in the second quadrant.
Therefore y = 2 and x = -3
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To get the cos(theta) you need to know "r":
r = sqrt(2^2+3^2) = sqrt(13)
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So, cos(theta) = x/r = -3/sqrt(13)
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Cheers,
Stan H.
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