SOLUTION: Solve the following equation, giving the exact solutions which lie in [0, 2π). (Enter your answers as a comma-separated list.) tan^2(x) = 3/2 sec^2x

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Question 1078821: Solve the following equation, giving the exact solutions which lie in [0, 2π). (Enter your answers as a comma-separated list.)
tan^2(x) = 3/2 sec^2x

Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20066)   (Show Source): You can put this solution on YOUR website!




Multiply both sides by 2









If you take square roots of both sides, what can you 
say about the solution(s)?

Edwin
Answer by ikleyn(52932)   (Show Source): You can put this solution on YOUR website!
.
Solve the following equation, giving the exact solutions which lie in [0, 2π). (Enter your answers as a comma-separated list.)
tan^2(x) = 3/2 sec^2x
~~~~~~~~~~~~~~~~~~~~ 

 =    --->

 =    --->  (multiply both sides by cos^2(x). You will get)

 =   --->

The solution DOES NOT exist since the left side is <= 1, while the right side is > 1.


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