SOLUTION: Please help!!!!
What are all the solutions of the equation cos(2x)+1=sin(2x) in interval [0,2pi)?
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Question 973867: Please help!!!!
What are all the solutions of the equation cos(2x)+1=sin(2x) in interval [0,2pi)?
Found 2 solutions by Edwin McCravy, KMST:
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!
Edwin
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
for short, that way, I can simply write
Since , .
Also, since , ---> .
With a negative cosine and a positive sine, must be in quadrant II.
Maybe as in or maybe even as in
Knowing that ,
--->--->--->--->--->---> .
So, either , or <---> .
For quadrant II, ---> , and
means , while
means .
For quadrant II, ---> , and
means , while
means .
If we think that and have a period of ,
or if we graph and we see that it makes a lot of sense:
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