It means that the angle in question is any multiple of 180 degrees.
Both the sine and the inverse sine (and similar trigonometric functions) are complicated to calculate. Therefore, you either look it up in a table, or use a scientific calculator. Some values, you should know by heart.Let's try an example: sin x = 0. This asks for the inverse sine, and you can have a calculator calculate it. But you should already know that the sine of 0 is zero, so that is one solution - incidentally, the solution which a calculator gives you if you ask for inverse sine, arc-sine, or something similar (you will usually have to press a special key before the sine function, to get the inverse sine - read the instructions for your calculator).But the sine of x is also equal to zero for an angle of 180 degrees, of 360 degrees, etc. - repeating every 180 degrees (or every pi radians).
sin(180) = 0, cos(180) = -1. You can get those results on any scientific calculator, including the one that comes with Windows. Just make sure that the angle measurement is set to degrees.
Sine does not converge but oscillates. As a result sine does not tend to a limit as its argument tends to infinity. So sine(infinity) is not defined.
sine-1(0.3420201433) = 20 degrees
It is simply the sine of the supplementary angle. If x is an angle measuring (90, 180) degrees, then sin(x) = sin(180 - x).
The sine of an angle between 0 and 180 degrees is positive. The sine of an angle between 180 degrees and 360 degrees is negative. At 0, 180 and 360 degrees the sine is 0.The sine is a periodic function with period 360 degrees, so angles differing by a multitude of 360 degrees have the same sine. Hence, for instance, the sines of the angles 0, 360, 720, ... are equal, namely 0.In any right triangle the sine of one of the non-right angles will be positive, since these are greater than 0 and less than 90 degrees.
To find which angle has a sine of 0.13, you calculate arcsin or sin^-1(0.13) =7.47 degrees 7.47 degrees has a sine of 0.13. There is also another angle , below 360 , has a sine of 0.13. Subtract 7.47 from 180. 180-7.47 = 172.53 degrees also has a sine of 0.13.
When you subtract theta from 180 ( if theta is between 90 degrees and 180 degrees) you will get the reference angle of theta; the results of sine theta and sine of its reference angle will be the same and only the sign will be different depends on which quadrant the angle is located. Ex. 150 degrees' reference angle will be 30 degrees (180-150) sin150=1/2 (2nd quadrant); sin30=1/2 (1st quadrant) 1st quadrant: all trig functions are positive 2nd: sine and csc are positive 3rd: tangent and cot are positive 4th: cosine and secant are positive
3060 degrees is eight and a half revolutions. So the sine of 3060 degrees is the same as the sine of 180 degrees (half a revolution) sin 180 = 0
If you mean the sine function, it is dependent on an angle. For example, the sine of an angle of zero degrees is zero; the sine of an angle of 90 degrees is one; for an angle of 180 degrees, the sine is again 0; if you make a graph, you get a curve that looks like a wave. In general, the values the sine function can take are between 1 and -1, inclusive.
180 degrees is a straight line and not imposible to draw with a ruler. sin 180 degrees is 0
It means that the angle in question is any multiple of 180 degrees.
Both the sine and the inverse sine (and similar trigonometric functions) are complicated to calculate. Therefore, you either look it up in a table, or use a scientific calculator. Some values, you should know by heart.Let's try an example: sin x = 0. This asks for the inverse sine, and you can have a calculator calculate it. But you should already know that the sine of 0 is zero, so that is one solution - incidentally, the solution which a calculator gives you if you ask for inverse sine, arc-sine, or something similar (you will usually have to press a special key before the sine function, to get the inverse sine - read the instructions for your calculator).But the sine of x is also equal to zero for an angle of 180 degrees, of 360 degrees, etc. - repeating every 180 degrees (or every pi radians).
square wave output without 180 deg shift...
sin(180) = 0, cos(180) = -1. You can get those results on any scientific calculator, including the one that comes with Windows. Just make sure that the angle measurement is set to degrees.
The amplitude of a sine wave is increasing at its fastest rate at the maximum points (90°, 270°) and decreasing at its fastest rate at the minimum points (0°, 180°).