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
one over root of 2 or (1/square root of 2) or 1/1.414213562 or 0.707106781
sine 40° = 0.642788
The sine of 75 degrees is about 0.9659
Sine Pari is Latin for "without equal".
sine 45 = 0.850903525
√ 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
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
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
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.