- #1
Elissa89
- 52
- 0
I don't even know what a conjecture is
y=-1/2[cos(x+pi)+cos(x-pi)]
y=-1/2[cos(x+pi)+cos(x-pi)]
A conjecture is something that you think might be true.Elissa89 said:I don't even know what a conjecture is
y=-1/2[cos(x+pi)+cos(x-pi)]
Elissa89 said:I don't even know what a conjecture is
y=-1/2[cos(x+pi)+cos(x-pi)]
The graph of this function is a sinusoidal curve with an amplitude of 1/2 and a period of pi. It is a combination of two cosine waves shifted by pi units in opposite directions.
The amplitude of this graph is 1/2, which can be found by taking the absolute value of the coefficient in front of the cosine function.
The period of this function is pi, which can be found by dividing 2pi (the period of a regular cosine function) by the coefficient in front of the x variable.
The x-intercepts of this graph occur when the cosine functions are equal to 0. This happens at x = -pi/2 and x = 3pi/2.
The range of this function is [-1/2, 1/2]. This is because the cosine function has a range of [-1, 1], and when multiplied by 1/2, it becomes [-1/2, 1/2].