The derivative of negative cosine is positive sine.
The second quadrant (top left).
It doesn't really. Depending on the exact value of the argument, the cosine function can give both positive and negative results, for a negative argument. As to "why" the sine, or cosine, functions have certain values, just look at the function definition. Take points on a unit circle. The sine represents the y-coordinate for any point on the circle, while the cosine represents the x-coordinate for such a point. (There are also other ways to define the sine and the cosine functions.)
It is cosine*cosine*cosine.
Yes. Cosine is adjacent side over hypothenuse. Adjacent side is the same sign when x is positive or negative.
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.
The anti derivative of negative sine is cosine.
∫ -cos(x) dx = -sin(x) + C
The derivative of cosine of x is simply the negative sine of x. In mathematical terms f'(x) = d/dx[cos(x)] = -sin(x)
Generally, the derivative of sine is cosine.
A simple wave function can be expressed as a trigonometric function of either sine or cosine. lamba = A sine(a+bt) or lamba = A cosine(a+bt) where lamba = the y value of the wave A= magnitude of the wave a= phase angle b= frequency. the derivative of sine is cosine and the derivative of cosine is -sine so the derivative of a sine wave function would be y'=Ab cosine(a+bt) """"""""""""""""""" cosine wave function would be y' =-Ab sine(a+bt)
Cosine to the negative first power and cosine cancel each other out because cosine to the negative first power is one over cosine, and one over anything times anything is just one.
Because the cosine of some angles is positive and the cosine of some other angles is negative.
The deriviative of sine(x) is cosine(x).
All the angles in 4th quadrant have positive cosine and negative sine e.g. 280,290,300,310...etc.
[ cos(Θ) ]-1 = 1/cosine(Θ) = secant(Θ)
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
The second quadrant (top left).