∫ -cos(x) dx = -sin(x) + C
-(1/2)X^2 [negative half X squared]
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 differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
cosine(x) = -1x = (270 + 360N) degreesorx = (1.5 + 2N) pi radiansN is any integer, positive or negative.
The anti derivative of negative sine is cosine.
The derivative of negative cosine is positive sine.
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.
-(1/2)X^2 [negative half X squared]
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.
negative cotangent -- dcot(x)/dx=-csc^2(x)
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.
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