half range cosine series or sine series is noting but it consdering
only cosine or sine terms in the genral
expansion of fourier
series
for example
half range cosine series
f(x)=a1/2+sigma n=0to1 an cosnx
where an=2/c *integral under limits f(x)cosnx
and sine series is vice versa
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.
in trigonometry
Sine and cosine are cofunctions, which means that their angles are complementary. Consequently, sin (90° - x) = cos x. Secant is the reciprocal of cosine so that sec x = 1/(cos x). Knowing these properties of trigonometric functions, among others, will really help you in other advance math courses.
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.
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.
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.