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| Question 864824:  if tangent theta = square root of 2 over 4 and angle theta terminates in the first quadrant, determine co-tangent theta, co-secant theta, and secant theta
 Answer by stanbon(75887)
      (Show Source): 
You can put this solution on YOUR website! if tangent theta = square root of 2 over 4 and angle theta terminates in the first quadrant, determine co-tangent theta, co-secant theta, and secant theta -----
 Tan is defined as y/x
 So y = sqrt(2) and x = 4
 Then r = sqrt[2+16] = sqrt(18)
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 cot(t) = 4/sqrt(2)
 csc(t) = r/y = sqrt(18)/sqrt(2) = sqrt(9) = 3
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 sec(t) = r/x = sqrt(18)/4
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 Cheers,
 Stan H.
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