You could just pull out the half: it will be (1/2) cos squared x.
The limit is 0.
No.
Yes both are the same. You can write it as x^2 as well.
Yes. Of course. x to the power of two is x2 and x squared is x2
You could just pull out the half: it will be (1/2) cos squared x.
2 x cosine squared x -1 which also equals cos (2x)
(1 - cos(2x))/2, where x is the variable. And/Or, 1 - cos(x)^2, where x is the variable.
The limit is 0.
No.
cosx^2 differentiates too 2(cosx)^1 x the differential of cos which is -sin so u get -2sinxcosx use the chain rule!
No. x squared is x times x, whereas 2x is x + x.
Yes both are the same. You can write it as x^2 as well.
d/dx (cos x)^2 using the rule of chain, take derivative of the external, times derivative of the internal = 2 (cos x)(-sin x) =-2sinx cos x = - sin(2x)
No. Cos squared x is not the same as cos x squared. Cos squared x means cos (x) times cos (x) Cos x squared means cos (x squared)
sin2 x = (1/2)(1 - cos 2x) cos2 x = (1/2)(1 + cos 2x) Multiplying both you get (1/4) (1 - cos2 2x) Which is equal to (1/4) (1 - (1/2) (1 + cos 4x) = (1/8) (2 - 1 - cos 4x) = (1/8) (1 - cos 4x) Or If it is the trigonomic function, sin squared x and cosine squared x is equal to one
It is the same period as cosine function which is 2 pi because sec x = 1/cos x