Question 969216
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iv. Find all solutions for the equation: {{{ sqrt(3)sec(4t) = -2 }}}
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        The solution to this problem  (iv)  in the post by @lwsshak3 is fundamentally  (conceptually)  wrong.


        I will copy-paste his solution here,  will show his error and will write a correct/(the corrected) version.



<pre>
sec(4t) = {{{-2/sqrt(3)}}}

cos(4t) = {{{-sqrt(3)/2}}}

4t = {{{5pi/6 + 2*pi*k}}}, {{{7pi/6 + 2*pi*k}}}, k = any integer

t = {{{5pi/24 + 2*pi*k}}}, {{{7pi/24+2*pi*k}}}, k = any integer  <<<---===  this is  {{{highlight(highlight(WRONG))}}}


      C  O  R  R  E  C  T  I  O  N


t = {{{5pi/24 + (pi/2)*k}}}, {{{7pi/24+(pi/2)*k}}}, k = any integer  <<<---===  this is  CORRECT
</pre>

Solved correctly.