Respuesta :
The given Trigonometric function is
y = Cos (x)
As the maximum value of Cosine (Theta) is 1. i.e
Maximum value of Cos (x) = 1
Cos (x) = cos (0 or 2 π)
If Cos (x) = Cos A
Then General formula for evaluating x is ,
x = 2 n π [tex]\pm[/tex] A, for n =......-3,-2,-1,0,1,2,3,4,5.....
Here, A= 0, so the value of x is =2 n π [tex]\pm[/tex] 0
x= 2 n π
For a cosine function, the minimum value is -1 and the maximum value is 1.
The formula is used to find the value of y = cos(x) is [tex]\rm x=2k\pi \pm0[/tex].
We have to determine
What formula gives the x coordinate of the maximum value for y=cos(x)?
What is the maximum value of the trigonometric function?
These two functions have minimum and maximum values as defined by the following formulas.
The maximum value of the function is M = A + |B|.
For a cosine function, the minimum value is -1 and the maximum value is 1.
The formula is used to find the maximum value of cos(x) is;
The maximum and minimum value of cos(x) is 1 and −1.
So cos(cos(x)) at x=90 is cos0=1(maximum value).
The maximum value of 1, cos x, is 1, at x=0 degree.
Cos x =1
Cos x = Cos (0)degree,
The cosine function oscillates between -1 and 1 that is the minimum value of cosine is -1 and the maximum value is 1.
We also know that cos(0) = 1 and after a period of cosine is 2π.
Therefore,
The formula is used to find the value of y=cos(x) is;
[tex]\rm x=2k\pi \pm0[/tex]
Hence, the formula is used to find the value of y=cos(x) is [tex]\rm x=2k\pi \pm0[/tex].
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