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You may have to draw this to understand the Sine function for a right triangle (degree mode on a calculator).

Draw a right triangle. Choose either angle (not the right angle, < div> C)) which will be referred to as < (Angle

The "Hypotenuse" is the longest side (IE. the side opposite

Sine is a function used so that if you know the Hypotenuse or the Opposite side's length, and the angle, you can find the one you do not have.

Sine(A) = Opposite/Hypotenuse. No, that does not mean all you have to do is divide the two. You have put in your calculator (yes, you need a calculator for this. It's impossible without it. Sine is sin on a calculator.) sin(A) = Opposite/Hypotenuse. On paper, it's Sine(A) = O/H. You replace the one you do not know as X.

Example if the Hypotenuse is 32 and

Now, if you know both the Opposite and the Hypotenuse but not the angle measure, use the inverse of Sine. O = 29.44. H=32. The answer should be close to 64. On paper, Sine-1= 27.44/32. On the calculator, sin-1(29.44/32) which equals 66.93. Very close. If you actually use the exact number, it will be exact. But that is almost impossible as the numbers are usually irrational. So an estimate is tolerable.

In a right triangle, the sine of an angle is the ratio of the opposite side to the hypotenuse. However, this only restricts the domain to (0, pi/2). Sine is actually defined using a unit circle. For a given point on the unit circle, the sine of that angle is the y-coordinate of that point, and the cosine of that angle is the x-coordinate.

Because of the periodic nature of the sine wave (after once around the unit circle, it repeats), it can be used to describe waves, such as sound waves, light waves, etc.

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Related questions

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 is sine affiliated with waves?

Waves are periodic function, as is the sine function.


Is sine a trig function?

Yes, sine is a trig function, it is opposite over hypotenuse.


What is the graph of a sine function called?

A sine graph!


Is the sine functions an odd function?

Yes. Along with the tangent function, sine is an odd function. Cosine, however, is an even function.


Is a sine function a periodic function?

Yes, the sine function is a periodic function. It has a period of 2 pi radians or 360 degrees.


What are the intervals of sine function?

The sine function repeats every 2pi radians (360 degrees).


What is the sine for greater than?

The sign is &gt;. Sine is a trigonometric function.


Is the Sine function an odd function?

Yes


What is the domain of the sine function?

The domain of the sine function is [-infinity, +infinity].The range is [-1, +1].The sine function is periodic. It repeats itself every 360 degrees or 2PI radians.


What is the relation between sine wave and frequency?

A sine wave is a periodic function and, by suitably adjusting the argument of the sine function, can be made to fit a wide functions with different frequencies.


What is a real life example of the sine function?

A real life example of the sine function could be a ferris wheel. People board the ride at the ground (sinusoidal axis) and the highest and lowest heights you reach on the ride would be the amplitudes of the graph.