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What is the range of a a function f when it is defined by f x 2 cos 3 x where x is a real number?
f(x) = 2 cos 3x The amplitude: A = |2| = 2 The maximum value of the function: 2 The minimum value of the function: -2 The range: [-2, 2]
Express as a single sine or cosine function 6 sin x cos x?
sin(2x)=(1/2)sin(x)cos(x), so 6sin(x)cos(x)=12sin(2x)
How do you write 4sin6xcos6x as a function of a single variable?
4 sin(6x) cos(6x) is already a function of a single variable. The variable is ' x '.
If Sin equals x and Cos equals y then x squared equals what function of y?
If x = sin θ and y = cos θ then: sin² θ + cos² θ = 1 → x² + y² = 1 → x² = 1 - y²
What is the derivative of 3cosx?
The derivative of 3cos(x) is -3sin(x). This can be found using the chain rule, which states that the derivative of a composition of functions is the derivative of the outer function evaluated at the inner function, multiplied by the derivative of the inner function. In this case, the derivative of cos(x) is -sin(x), and when multiplied by the constant 3, we get -3sin(x) as the derivative of 3cos(x).
Why is cos an even function?
An even function is one where f(x) = f(-x) For cosine, cos(x) = cos(-x), thus cosine is an even function.
Cos x equals -cos x plus 1?
No, but cos(-x) = cos(x), because the cosine function is an even function.
Why does cos x equal cos -x?
cos x equals cos -x because cos is an even function. An even function f is such that f(x) = f(-x).
What is cos of a negative angle?
The cosine function is an even function which means that cos(-x) = cos(x). So, if cos of an angle is positive, then the cos of the negative of that angle is positive and if cos of an angle is negative, then the cos of the negative of that angle is negaitive.
Is it true or false that the cosine function is an odd function?
False; the cosine function is an even function as cos(-x) = -cos(x).
Express cos -155 as a function of a positive acute angle?
Cos(-155) = cos(155) = 1 - cos(180-155) = 1-cos(25).
What is the reciprocal function of sec A?
The answer is cos A . cos A = 1/ (sec A)
What is the cos of a 40 degree angle?
0.766
What is the degree if cosine is .091?
cos x=.091 x=(cos^-1).091 x=84.779
What is the cofunction of sin 30 degree?
cos 60
What is the minimum value that the function y equals cos x assumes?
Since the range of the cosine function is (-1,1), the function y = cos(x) assumes a minimum value of -1 for y.
What is the cos of a 45 degree angle?
cos 45o = 1/√2 = 1/2 x √2 ≈ 0.707
