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2X, given sinX= 2/5 and cos X <0
 Mar 19, 2014
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2X, given sinX= 2/5 and cos X <0



sinx is pos therefore it is 1st or 2nd quad
cosx is neg therefor 2nd or 3rd quad
Therefore x must be in the second quadrant


sin -1(2/5) = 23.578.. (first quad)
X = 180-23.578... = 156.4218...
In general X=156.4218 + 360N Where N is in the set of integers

2x = 312.84...
2x = 312 degrees 50minutes and 37 seconds +720N Where N is in the set of integers (to the nearest second)
 Mar 19, 2014

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