SOLUTION: If secx = 2, cscx < 0, find cos2x

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Question 1202997: If secx = 2, cscx < 0, find cos2x
Answer by Edwin McCravy(20081) About Me  (Show Source):
You can put this solution on YOUR website!
If secx = 2,
2 is positive, the cosine and its reciprocal, 
the secant, is positive in QI and QIV
cscx < 0,
the sine and its reciprocal, the 
cosecant, is negative in QIII and QIV,

So angle x is in QIV

Let's draw angle x.  Since we are using x for the angle, we must use another
letter for the axis that is normally called the x-axis.  We'll make it the u
axis:



find cos2x

cos%282x%29=2cos%5E2%28x%29-1=2%281%2F2%29%5E2-1+=+2%281%2F4%29-1+=+1%2F2-1+=+-1%2F2

Edwin