You can nearly:
Sine2 + Cosine2 = 1 so cos2 = 1 - sin2
so that cos = sqrt(1 - sin2)
Unfortunately, you cannot tell whether it is the principal sqrt or its negative equivalent.
Sine(A+ B) = Sine(A)*Cosine(B) + Cosine(A)*Sine(B).
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.
No, they do not.
For a right angle triangle:- hypotenuse = adjacent/cosine or hypotenuse = opposite/sine
Fourier transform analyzes signals in the frequency domain, representing the signal as a sum of sinusoidal functions. Wavelet transform decomposes signals into different frequency components using wavelet functions that are localized in time and frequency, allowing for analysis of both high and low frequencies simultaneously. Wavelet transform is more suitable than Fourier transform for analyzing non-stationary signals with localized features.
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.
For a right angle triangle:- hypotenuse = adjacent/cosine or hypotenuse = opposite/sine
The maximum of the sine and cosine functions is +1, and the minimum is -1.