SOLUTION: Is this correct Find all solutions for the equation: {{{ sqrt(3)sec(4t)=-2 }}} ----------- ----------- ----------- -- {{{ sec(4t)= -2/(sqrt(3)) }}} {{{ cos(4t)= (-sqrt(3))/

Algebra ->  Trigonometry-basics -> SOLUTION: Is this correct Find all solutions for the equation: {{{ sqrt(3)sec(4t)=-2 }}} ----------- ----------- ----------- -- {{{ sec(4t)= -2/(sqrt(3)) }}} {{{ cos(4t)= (-sqrt(3))/      Log On


   

Question 969246: Is this correct
Find all solutions for the equation:
+sqrt%283%29sec%284t%29=-2+
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+sec%284t%29=+-2%2F%28sqrt%283%29%29+
+cos%284t%29=+%28-sqrt%283%29%29%2F2%29+
+cos%284t%29+=+%282pi%2F3%2B2kpi%29+%284pi%2F3%2B2kpi%29+
therefore dividing the 4t across everything....
+cos%28t%29+=+%282pi%2F12%2B2kpi%2F4%29%284pi%2F12%2B2kpi%2F4%29+
+cos%28t%29+=+%28pi%2F6+%2Bkpi%29%28pi%2F3%2Bkpi%29+
I get the impression something is off here please explain what it is.
Thank you
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
cos%284t%29=+%28-sqrt%283%29%29%2F2%29
From here,
4t=%285%2F6%29pi%2B2%2Api%2Ak and 4t=%287%2F6%29pi%2B2%2Api%2Ak
Now divide both sides by 4.
t=%285%2F24%29pi%2B%28pi%2F2%29%2Ak and t=%287%2F24%29pi%2B%28pi%2F2%29%2Ak
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