yes.
Putting a question mark at the end of a phrase does not make it a sensible of even an answerable question. Sine and cosine of real numbers? Yes, they do exist. In fact, sines and cosines of complex numbers also exist. Does that answer the question?
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 domain of cosine is all real numbers, its range is [-1,1], and its period is 2π radians.
One of the most significant contribution is Euler's Formula which relates the value eiθ to sine and cosine. Mainly,when θ = wt (w is omega, representing frequency, and t is time)Aeiwt = Acos(wt)+Aisin(wt), where cosine is the "real" portion of the number and "sine" is the imaginary.Another way to think of this is by making an axis system where real numbers are on the horizontal (x-axis) and imaginary number are on the vertical (y-axis) then the cosine value would be the number on the x-axis and the sine would be the number on the vertical axis. (This is similar to how you disect the unit circle.)