How do I find angle 1?
2 answers:
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Assuming you want the range of
-4cos(2x)
the range of the cosine function is -1 to 1. When that is scaled by a factor of -4, it becomes 4 to -4.
The range of F(x) is [-4, 4] in interval notation.
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If you want the range of
F(x) = -4cos²(x)
that range will be -4×[0, 1] = [-4, 0].
-4cos(2x)
the range of the cosine function is -1 to 1. When that is scaled by a factor of -4, it becomes 4 to -4.
The range of F(x) is [-4, 4] in interval notation.
_____
If you want the range of
F(x) = -4cos²(x)
that range will be -4×[0, 1] = [-4, 0].
We know that:
is an equation of a circle.
When we substitute x and y (from the pairs we have), we'll get a system of equations:
and all we have to do is solve it for a, b and r.
There will be:
From equations (II) and (III) we have:
and from (I) and (II):
Now we can easly calculate a and b:
Finally we calculate
:
And the equation of the circle is:
is an equation of a circle.
When we substitute x and y (from the pairs we have), we'll get a system of equations:
and all we have to do is solve it for a, b and r.
There will be:
From equations (II) and (III) we have:
and from (I) and (II):
Now we can easly calculate a and b:
Finally we calculate
And the equation of the circle is: