sine 45 = 0.850903525
The arc-sine (or inverse sine) of 45 degrees is the angle whose sine value is equal to the sine of 45 degrees. Since the sine of 45 degrees is ( \frac{\sqrt{2}}{2} ), the arc-sine of ( \frac{\sqrt{2}}{2} ) is 45 degrees. Therefore, the arc-sin of 45 degrees is also 45 degrees, given that it falls within the principal range of the inverse sine function.
You mean, "N in 45 degrees"? Ans. sine(45) = 0.7071 N
The sine of 45 degrees is equal to (\frac{\sqrt{2}}{2}). This value arises from the properties of a 45-45-90 triangle, where both legs are equal and the hypotenuse is (\sqrt{2}) times the length of each leg. Consequently, the sine function, which is defined as the ratio of the opposite side to the hypotenuse, yields this result for 45 degrees.
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.
√ 1/2 = sine(45)= cosine(45) -Key
The arc-sine (or inverse sine) of 45 degrees is the angle whose sine value is equal to the sine of 45 degrees. Since the sine of 45 degrees is ( \frac{\sqrt{2}}{2} ), the arc-sine of ( \frac{\sqrt{2}}{2} ) is 45 degrees. Therefore, the arc-sin of 45 degrees is also 45 degrees, given that it falls within the principal range of the inverse sine function.
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
The sine of 45 degrees is equal to (\frac{\sqrt{2}}{2}). This value arises from the properties of a 45-45-90 triangle, where both legs are equal and the hypotenuse is (\sqrt{2}) times the length of each leg. Consequently, the sine function, which is defined as the ratio of the opposite side to the hypotenuse, yields this result for 45 degrees.
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)