SOLUTION: Solve tanx+1=secx and 2tanxsecx-tanx=0

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Question 1078827: Solve tanx+1=secx and 2tanxsecx-tanx=0
Found 2 solutions by Alan3354, Edwin McCravy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Is it 1 problem? Or 2?

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
Solve


We square both sides



We use the Pythagorean trig identity: 
 to write
the right side:







You finish. That gives you two values for x in [0,2p).  
But since I squared both sides, you must check for 
extraneous solutions. 

--------------------------



Factor out common factor of tan(x)





You finish by solving tan(x)=0 for x.
But remember that sec(x) always has
absolute value greater than or equal to 1.

Edwin

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