The sine, cosine and tangent are used to find the degrees of a right angle triangle.
In statics analysis, we use the sine function when dealing with forces that are perpendicular to a reference axis, and the cosine function when dealing with forces that are parallel to the reference axis.
Sine wave is considered as the AC signal because it starts at 0 amplitude and it captures the alternating nature of the signal. Cosine wave is just a phase shift of the sine wave and represents the same signal. So, either sine or cosine wave can be used to represent AC signals. However, sine wave is more conventionally used.
You would use trigonometry for that. If, for example, you have a force of magnitude 10 at an angle of 30 degrees: * The x-component is 10 times the cosine of 30 degrees * The y-component is 10 times the sine of 30 degrees Or better yet, learn to use the polar-->rectangular conversion on your scientific calculator.
Usually the two familiar components are opposite and adjacent. For opposite sine function and for adjacent cosine function have to used. Hence as R is to be resolved then the components are R sin@ and R cos@, where @ is the angle of R with its adjacent.
In physics, a sine curve is used to represent periodic phenomena such as simple harmonic motion or alternating current. It shows how a quantity varies sinusoidally with time or distance. The amplitude, frequency, and phase of the sine curve provide important information about the behavior of the system being studied.
Yes, sine, cosine, tangent definitions are based on right triangles
Trigonometry
Sine(A+ B) = Sine(A)*Cosine(B) + Cosine(A)*Sine(B).
Sine= Opposite/ Hypotenuse Cosine= Adjacent/ Hypotenuse
You can choose either or but tangent which is sin/cos seems to be the most common way.
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
The sine and cosine were originally developed for use in surveying. They provided a way to measure the distance across lakes and around mountains. Soon they were found to be useful in navigation. The sine was used to calculate pi. When electrical measurements were made, the sine law was used. If you want to know when to use the sine and when to use the cosine, you will need to get a trig book, a physics book, an astronomy book, a sailing book, and a few other books and read them all.
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.