if chord y=mx+1 of the circle x^2+y^2=1 subtends an angle 45 degrees at the major segment of the circle,then the value of m is

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- Dec 1st 2010, 05:06 PMprasumcircle 2
if chord y=mx+1 of the circle x^2+y^2=1 subtends an angle 45 degrees at the major segment of the circle,then the value of m is

- Dec 2nd 2010, 12:59 AMearboth
1. I'm not sure that I understand your question correctly(?).

2. Draw a sketch.

3. The perpendicular bisector of the chord has the slope which correspond to an angle of 67.5° to the x-axis.

4. The slope of the sekant correspond to an angle of -22.5° and therefore

5. Use some simple trig-properties to get

- Dec 2nd 2010, 04:22 AMRTC1996
Why do your angles have commas instead of periods? You wrote 67,5 and 22,5. Shouldn't it be 67.5 degrees and 22.5 degrees?

- Dec 2nd 2010, 01:23 PMearboth