document.write( "Question 952113: If secθ = cscθ, and θ is not in Quadrant 1, determine the measure of θ in Radians or Degrees. \n" ); document.write( "

Algebra.Com's Answer #581463 by Alan3354(69443) $\"\"$ $\"About$

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If secθ = cscθ, and θ is not in Quadrant 1, determine the measure of θ in Radians or Degrees.
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\n" ); document.write( "csc = sec --> sine = cosine
\n" ); document.write( " $\"sin%28x%29+=+sqrt%281+-+sin%5E2%28x%29%29\"$
\n" ); document.write( "sin^2 = 1 - sin^2
\n" ); document.write( "sin^2 = 1/2
\n" ); document.write( " $\"sin%28x%29+=+sqrt%282%29%2F2\"$
\n" ); document.write( "--> x = 45 degs
\n" ); document.write( "sine and cosine are both + in Q1, and both negative in Q3
\n" ); document.write( "--> theta = 225 degrees = 5pi/4 radians
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