SOLUTION: If secθ = cscθ, and θ is not in Quadrant 1, determine the measure of θ in Radians or Degrees.

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Question 952113: If secθ = cscθ, and θ is not in Quadrant 1, determine the measure of θ in Radians or Degrees.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If secθ = cscθ, and θ is not in Quadrant 1, determine the measure of θ in Radians or Degrees.
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csc = sec --> sine = cosine
sin%28x%29+=+sqrt%281+-+sin%5E2%28x%29%29
sin^2 = 1 - sin^2
sin^2 = 1/2
sin%28x%29+=+sqrt%282%29%2F2
--> x = 45 degs
sine and cosine are both + in Q1, and both negative in Q3
--> theta = 225 degrees = 5pi/4 radians