SOLUTION: If 2 cos@ + sec@=3 then find the value of @.

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Question 830307: If 2 cos@ + sec@=3 then find the value of @.
Found 2 solutions by Fombitz, Edwin McCravy:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!



Let


Two "u" solutions:




and




Oops! I screwed up the previous solution.
and
Three solutions.
Oops! I screwed up the previous solution.
A can be 0, 60, and 300 degrees.
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!


Replace  by 



Multiply through by 



Get 0 on the right side by adding  to both sides:



Just as 2x²-3x+1 factors as (x-1)(2x-1), the above factors as:



We use the zero-factor property and set each factor = 0

,     

,    
                                                    
,     ,

or any positive or negative multiple of  added to these.

or in degrees, 0°, 60°, 300°

or any positive or negative multiple of 360° added to these.

Edwin
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