SOLUTION: solve for theta if 2 tan^2 theta + sec theta-4=0

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Question 277195: solve for theta if 2 tan^2 theta + sec theta-4=0
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Recall that and that , hence:



LCD is so:





Now recall that so that and therefore:



and finally:



Let , then



Which factors to:





or



Therefore:



or



And

radians or radians

or

radians or radians.

Though you did not specify, I presumed you wanted the solutions on the interval




John