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.
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)
The sine, cosine and tangent are used to find the degrees of a right angle triangle.
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.