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If you look at the graphs of y=sin(x) and y=cos(x) you can see that the two sinusoidal curves are actually the same graph, but that one is just a shifted version of the other. This type of shift may be referred to as a phase shift. This shift allows certain values of sine and cosine to be equivalent, but to occur at different angle values. You may wish to experiment with other values to better understand the relationship between the two. Such as at 45 degrees: at this value cosine and sine are equal.
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If two integers have the same sign what is the sine of their sum?
Sine(A+ B) = Sine(A)*Cosine(B) + Cosine(A)*Sine(B).
What are the Differentiate the sine wave and cosine wave?
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
How does the tangent function relate to sine and cosine?
Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.
Do the equations sine plus cosine and sine squared plus cosine squared both equal 1?
No, they do not.
How do you find the hypotenuse with a cosine and or sine?
For a right angle triangle:- hypotenuse = adjacent/cosine or hypotenuse = opposite/sine
Why is sine 30 the same as cosine of 60?
sin(30) = sin(90 - 60) = sin(90)*cos(60) - cos(90)*sin(60) = 1*cos(60) - 0*sin(60) = cos(60).
If two integers have the same sign what is the sine of their sum?
Sine(A+ B) = Sine(A)*Cosine(B) + Cosine(A)*Sine(B).
How do you find the cosine and the sine?
Sine= Opposite/ Hypotenuse Cosine= Adjacent/ Hypotenuse
What are the Differentiate the sine wave and cosine wave?
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
How does the tangent function relate to sine and cosine?
Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.
Why are sine and cosine functions used to describe periodic?
because sine & cosine functions are periodic.
How do you find sine cosine and tangent of 210 degrees?
Sine = -0.5 Cosine = -0.866 Tangent = 0.577
Do the equations sine plus cosine and sine squared plus cosine squared both equal 1?
No, they do not.
What is the derivation of the wave function?
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)
Where to use sine and cosine in physics?
The sine, cosine and tangent are used to find the degrees of a right angle triangle.
How do you find the max and min of sine cosine functions?
The maximum of the sine and cosine functions is +1, and the minimum is -1.
How do you find the hypotenuse with a cosine and or sine?
For a right angle triangle:- hypotenuse = adjacent/cosine or hypotenuse = opposite/sine
