answersLogoWhite

0

If sin(πx) = 0, then x must be an integer, as the only angles with a sine of zero are multiples of π.

You could say then that x ∈ ℤ

User Avatar

Wiki User

12y ago

Still curious? Ask our experts.

Chat with our AI personalities

FranFran
I've made my fair share of mistakes, and if I can help you avoid a few, I'd sure like to try.
Chat with Fran
BlakeBlake
As your older brother, I've been where you are—maybe not exactly, but close enough.
Chat with Blake
DevinDevin
I've poured enough drinks to know that people don't always want advice—they just want to talk.
Chat with Devin

Add your answer:

Earn +20 pts
Q: How do you solve for sin PI x equals 0?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Algebra

What is sin of 3 pi over 2?

Sin(3pi/2) = Sin(2pi - pi/2) Double angle Trig. Identity. Hence Sin(2pi)Cos(pi/2) - Cos(2pi) Sin(pi/2) Sin(2pi) = 0 Cos(pi/2) = 0 Cos(2pi) = 1 Sin(pi/2) = 1 Substituting 0 x 0 - 1 x 1 = 0 - 1 = -1 The answer!!!!!


How can I solve tan of 3 theta -sqrt of 3 equals 0 for theta?

tan3A-sqrt3=0 tan3A=sqrt3 3A=tan^-1(sqrt3) 3A= pi/3+npi A=pi/9+npi/3 n=any integer


How do you solve x2 81 equals 0?

x: x2 - 81 = 0


How do you solve 27.82 equals X squared divided by Sin squared x?

Here is a way to solve 27.82 = X2/SIN2(X) using successive approximations or bracketing: First, take the square root of each side: 5.27 = X/SIN(X) SIN(X) has values from 0 to 1 in the first quadrant (0 to 90 deg.) and from 1 to 0 in the second quadrant (90 to 180 deg.) as seen in a table of trig functions. To bracket the answer, plug in values for X in radians; 90 deg. = Pi/2 radians where Pi =3.1415. Pi/2 radians = 1.571 For values of X from 0 to Pi/2, the value of X is too small, so X > 1.571. Since SIN(X) is negative for angles of 180 to 360 deg., the answer should lie between X = 1.571 and X = 3.1415 (Pi radians or 180 deg.) Next, try an answer that lies halfway between 1.571 and 3.1415: Let X = (1.571+3.1415)/2 = 2.356 and solve for X/SIN(X) = 3.33 Since this answer is too small, X must lie between 2.356 and 3.1415 If we continue to bracket the value of X, after a few more steps, we find that if X = 2.621, X/SIN(X) = 5.269 which rounds up to 5.27 This problem can be more easily solved by setting it up in an Excel spread sheet and simply plugging in values for X to converge on the answer.


What is the lim of h if it equals 0 Sinxcosh plus cosxsinh minus sinx divided by h?

lim(h→0) (sin x cos h + cos x sin h - sin x)/h As h tends to 0, both the numerator and the denominator have limit zero. Thus, the quotient is indeterminate at 0 and of the form 0/0. Therefore, we apply l'Hopital's Rule and the limit equals: lim(h→0) (sin x cos h + cos x sin h - sin x)/h = lim(h→0) (sin x cos h + cos x sin h - sin x)'/h' = lim(h→0) [[(cos x)(cos h) + (sin x)(-sin h)] + [(-sin x)(sin h) + (cos x)(cos h)] - cos x]]/0 = cosx/0 = ∞