First of all, I can't tell what angle you're talking about, because you failed
to mention the unit of your angle.
-- Cosine of 16 degrees is roughly 0.9613 ... a positive number.
-- Cosine of 16 radians is roughly -0.9577 ... a negative number.
-- Cosine of 16 grads is roughly 0.9686 ... a positive number.
Over any reasonably large range of angles, half of them have positive cosines,
and the other half of them have negative cosines.
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.
Sine is positive and cosine is negative in the second quadrant of the Cartesian coordinate system. In this quadrant, the angle is between 90 and 180 degrees, where the y-coordinate (sine) is positive and the x-coordinate (cosine) is negative. Thus, for any angle in the second quadrant, sine values are above the x-axis, while cosine values are below it.
The derivative of negative cosine is positive sine.
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.
All the angles in 4th quadrant have positive cosine and negative sine e.g. 280,290,300,310...etc.
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
[ cos(Θ) ]-1 = 1/cosine(Θ) = secant(Θ)
The negative sine graph and the positive sine graph have opposite signs: when one is negative, the other is positive - by exactly the same amount. The sine function is said to be an odd function. The two graphs for cosine are the same. The cosine function is said to be even.
The second quadrant (top left).
The anti derivative of negative sine is cosine.
cosine(x) = -1x = (270 + 360N) degreesorx = (1.5 + 2N) pi radiansN is any integer, positive or negative.
Sine is positive and cosine is negative in the second quadrant of the Cartesian coordinate system. In this quadrant, the angle is between 90 and 180 degrees, where the y-coordinate (sine) is positive and the x-coordinate (cosine) is negative. Thus, for any angle in the second quadrant, sine values are above the x-axis, while cosine values are below it.
225 degrees