Thursday, December 10, 2009

Reflection 2

This reflection is about solving trig equations. A few things to know about solving these equations are that sin is positive on the y-axis, cos is positive on the x-axis, and that tan is positive in quadrant one and three. To move from quadrant to quadrant is quite easy. To move from quadrant one to four u make the first point negative and add 360 degrees, from one to three you add 180 degrees, one to two you make negative and add 180 degrees, and to move from two to four you add 180 degrees.

An example of one is find the value of X between 0 and 2 pie for which sinX = 0.6. You would set it up as sinX 0.6. Then you would take an inverse of sin so that you can find the value of X. So this then makes it X = sin^-1(0.6). So then you would put that into your calculator and you should get the answer 36.870 degrees. Since sin is positive on the y-axis, you would have to find the points in quadrant one and two. Since 36.870 degrees is already in quadrant one, so that is our first answer. Now to find the point in quadrant two we would have to make our first point negative and add 180 degrees. After doing that we would get the point 143.130 degrees. So therefore the answer would be 36.870 degrees and 143.140 degrees.

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