Is sin the derivative of cos?
?Proving that the derivative of sin(x) is cos(x) and that the derivative of cos(x) is -sin(x).Click to see full answer. In respect to this, why derivative of sin is cos?That is because the function cos(x) happens to describe the behaviour of the slope of the tangent lines of sin(x) for every x. This is the…
?Proving that the derivative of sin(x) is cos(x) and that the derivative of cos(x) is -sin(x).Click to see full answer. In respect to this, why derivative of sin is cos?That is because the function cos(x) happens to describe the behaviour of the slope of the tangent lines of sin(x) for every x. This is the definition of a derivative. Hence sin cos are also related. And related things can be derived.One may also ask, what is the derivative of cos? The most important thing we learned was that the derivative of cos(x) = -sin(x). We also showed how it was solved, starting with the fact that cos(x) = 1 / sec(x), followed by the following facts: The derivative of sec(x) is sec(x)tan(x) The derivative of a constant is 0. Subsequently, question is, what is the derivative of sinx? THE DERIVATIVE of sin x is cos x.What is cos 2x?cos(2x) = cos(x + x) = cos(x)cos(x) – sin(x)sin(x) = cos^2(x) – sin^2(x) Given the Pythagorean identities: (sin^2(x) + cos^2(x) = 1), cos^2(x) = 1 – sin^2(x) so cos(2x) also equals (1 – sin^2(x)) – sin^2(x) or 1 – 2sin^2(x)
