It would help if I knew a little more information about what you're looking for, in order to better answer your question, but here are the basics.
For a right triangle, given one of the angles that is not the 90° angle:
One way to remember this is: Sine, Cosine, Tangent; then think of Old Harry Always Has Old Apples. Sine = O/H, Cosine = A/H, and Tangent = O/A,
where O is the Opposite side, A is the Adjacent side, and H = Hypotenuse.
Another one that somebody taught me is: Oh Heck Another Hour Of Algebra. Pick whatever helps you to remember.
Cosine squared theta = 1 + Sine squared theta
The derivative of negative cosine is positive sine.
its short for sine. theres sine, cosine, and tangent. sine is opposite over adjacent for the sides of a triangle (or angles)
Yes they are. Both have a a period of 2 pi
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.)
Sine(A+ B) = Sine(A)*Cosine(B) + Cosine(A)*Sine(B).
Sine= Opposite/ Hypotenuse Cosine= Adjacent/ Hypotenuse
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.
because sine & cosine functions are periodic.
Sine = -0.5 Cosine = -0.866 Tangent = 0.577
No, they do not.
The maximum of the sine and cosine functions is +1, and the minimum is -1.
For a right angle triangle:- hypotenuse = adjacent/cosine or hypotenuse = opposite/sine
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.
Cosine squared theta = 1 + Sine squared theta
The derivative of negative cosine is positive sine.