sine 45 = 0.850903525
You mean, "N in 45 degrees"? Ans. sine(45) = 0.7071 N
It can. The sine function is defined for all numbers--negative, 0, and positive. The function is periodic and repeats every 360 degrees.
The number 1.414... (square root of 2) is two times the cosine or sine of a 45 degree angle. The reason for this is that for a 45 degree angle, the two sides are cosine and sine, they are equal, and if you solve using the Pythagorean theorem with a hypotenuse of 1, the two sides are each (21/2)/2.
A sine bar becomes impractical for angles larger than 45 degrees because the height of the workpiece must be increased to maintain the correct angle, which can lead to stability issues and difficulty in obtaining precise measurements. Additionally, as the angle increases, the required length of the sine bar increases, making it less manageable and harder to set up accurately. Furthermore, the sine bar's effectiveness diminishes due to the geometry involved, as larger angles may lead to increased errors in measurement.
sine 810 = sine 90 = 1
√ 1/2 = sine(45)= cosine(45) -Key
By shifting the sine wave by 45 degrees.
You mean, "N in 45 degrees"? Ans. sine(45) = 0.7071 N
The sine and cosine of acute angles are equal only for 45° sin45° = cos 45° = 1/sqrt(2) = 0.7071
Sine (0) = 0 Sin(30) = 0.5 Sin(45) = 0.7071... Sin(60) = 0.8660.... Sin(90) = 1 Are just a few of the Sine(Trigonometric) values.
The square root of two over two.
at a 45 degree angle, or pi/4
1 it can not used when the angle more than 45 degrees.....
We know that sin @ = h/l is the basic principle of working of sine bar.Differentiating above equation,.. . cos @ . d@ = l.dh - h.dl_________ l*ld@ =tan@(dh/l - dl/l)This indicate that error is a function of tan @ and below 45 degree error is smaller which suddenly increases above 45 degree. because of this reason sine bar is preferred for measuring angle below 45
0.70710678118654752440084436210485 ----------------------- Improve: If you mean 45 degrees then it equals: Sqrt (2) /2 (which is the exact form of the above approximate form)
It can. The sine function is defined for all numbers--negative, 0, and positive. The function is periodic and repeats every 360 degrees.
sin-1(0.707) = 44.99134834 or about 45 degrees