SOLUTION: Solve the following equation, giving the exact solutions which lie in [0, tan^2(x) = 3/2 sec (x)

Question 1078896: Solve the following equation, giving the exact solutions which lie in [0,
tan^2(x) = 3/2 sec (x)

Answer by ikleyn(52908) (Show Source): You can put this solution on YOUR website!
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Solve the following equation, giving the exact solutions which lie in [0,
tan^2(x) = 3/2 sec (x)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

 =   <---->

 =   ---> multiply both sides by . You will get

 =   --->

 =   --->

 =   --->

 = 0  --->

 = 0  ---> 


The last equation deploys in two independent equations


1.  2cos(x) - 1 = 0  --->  cos(x) =   --->  x =   and/or  x = .


2.  cos(x) + 2 = 0 --->  cos(x) = -2  ---  This equation has no solutions.


Answer.  The given equation has two roots  x =   and  x =  in the interval [,).

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