Asked by Anonymous
f(x)=1+2cos2x
Find min/max, period, general solution, sketch
Period is 360 divided by 2?
For the general solution I know it is going to be +/- (just one number) but I'm not sure how to get the value and have no idea bout the min/max
Find min/max, period, general solution, sketch
Period is 360 divided by 2?
For the general solution I know it is going to be +/- (just one number) but I'm not sure how to get the value and have no idea bout the min/max
Answers
Answered by
Damon
The cosine ranges between -1 and +1
Twice the cosine ranges between -2 and + 2
If 2 cos is -2, f(x) = -1
If 2 cos is +2, f(x) = +3
So min is -1, max is +3
Yes, 180 degrees or pi radians
I do not know what you mean by a general solution. Solution to what? Perhaps you mean the zeros of the function?
cos 2x = -1/2 ?
2 x = 120 or 240 (2 pi/3 or 4 pi/3)
x = 60 or 120 (pi/3 or 2 pi/3)
Twice the cosine ranges between -2 and + 2
If 2 cos is -2, f(x) = -1
If 2 cos is +2, f(x) = +3
So min is -1, max is +3
Yes, 180 degrees or pi radians
I do not know what you mean by a general solution. Solution to what? Perhaps you mean the zeros of the function?
cos 2x = -1/2 ?
2 x = 120 or 240 (2 pi/3 or 4 pi/3)
x = 60 or 120 (pi/3 or 2 pi/3)
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