Oh, dude, it's like asking the difference between a hot dog and a hamburger. So, like, the main difference is just a phase shift of 90 degrees. Sine starts at zero, cos starts at one, but they're basically like two sides of the same math coin.
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Oh honey, sit down and let me educate you. The only real difference between a sine graph and a cosine graph is where they start on the x-axis. Sine starts at 0 and cosine starts at 1. Other than that, they're just like two peas in a pod, oscillating away in trigonometry land.
The sine graph and the cosine graph are identical in shape, with the cosine graph shifted to the left by pi / 2, i.e. the sine starts at (x=0,y=0) and proceeds up with an initial slope of one, and the cosine starts at (x=0,y=1), and proceeds down with an initial slope of zero.
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.
Cotangent is 1 / tangent. Since tangent is sine / cosine, cotangent is cosine / sine.
The amplitude of a sine (or cosine) curve is the difference between the maximum and minimum values of the curve, measured over a whole cycle.
Cosine (0) = 1 Sin(0) = 0 The sine and cosine curves are two intertwining curves, that complement each other, hence the words 'Sine (Curve) and Cosine ( COmplementary Curve).
half range cosine series or sine series is noting but it consderingonly cosine or sine terms in the genralexpansion of fourierseriesfor examplehalf range cosine seriesf(x)=a1/2+sigma n=0to1 an cosnxwhere an=2/c *integral under limits f(x)cosnxand sine series is vice versa