Sine Definition and 511 Threads

I'm having a lot of problems with this topic. I know what the sine, cosine and tan graphs look like. one question i come across fequently is "given that sin 30°, what is a) sin 150° b) sin 330°. - i can work it out on a calculator but the questions on a non-calc paper. I am presuming it's...

Homework Statement Hello, I'm trying to find the area enclosed by sine the cosine function on the interval 45 degrees and 225 degrees, my problem is i get a negative number after i do the integration, my answer is -2 root 2. here's what i did, sin(x)-cos(x)dx after integrating...

In the function y=4sin(3X+Pie/4)-2 what determines the period and phase shift? I know that 4=Amplitude The answer in the back of the textbook says Period=2pie/3 Phase Shift=-pie/12

Origin of the term "sine" It is well-known that "sine" comes from the Latin word "sinus", meaning a "fold", or a pocket. However, its reference to the length of the half-chord on the unit circle remains still rather obscure. I recently came over an explanation that makes perfect sense...

Homework Statement Im not sure how to start this question: determine the points of intersection between y=sin x and y=cos 2 x for x between 0 and pi. The Attempt at a Solution First thing that comes to mind is the eqaute the two, but i don't know how that helps me?

Proving slope "m" of a secant connecting two points of the sine curve Homework Statement Write and expression for the slope m of the secant connecting the points Po(Xo,Yo) and P(X,Y) of the sine curve. Use the appropriate trigonometric identity to show that m= sin((X-Xo)/2)/((X-Xo)/2) * cos...

What would the Domain, Range, Amplitude, Period, Phase shift be for y=-3sin(x)+2cos(x)? How do you write it as a single sine function equivalent to it? :confused:

Does anyone remember the formula for the rise/fall time for a sine wave...? I thought I could calculate it but I did it wrong apparently t1. V_o sin(2*\pi*f*t)=.1 V_o \frac{arcsin(.1)}{2 \pi f} t2. V_o sin(2*\pi*f*t)=.9 V_o \frac{arcsin(.9)}{2 \pi f} t2-t1... but that isn't right

Help me with sine questions.. URGENT Hi I am trying to solve these and i can't understand them .. please help me Q1:: Write an equation for a sine curve that has the following characteristics: - amplitude of 5, -max of 7, min of -3 and one cycle starts at pi/8 and this cycle ends at 9 pi/8...

rms of sine wave = peak * 1/SQRT(2) how is this derived from the rms equation? (Search engines have returned no useful results.)

I need to find \int \cos^2(x)\sin^7(x)dx I'm not sure what substitution to make

Part a)I need help understanding a step in solving \lim_{x\rightarrow \infty}xsin(\frac{1}{x}) The textbook is suggesting I replace \frac{1}{x} with y, so that I can get a limit in the form \lim_{y\rightarrow 0}\frac{siny}{y} which is understandably easy to solve. The part I don't...

Hello guyz, I am new at this page. I need your help. I can't able to evaluate this integral. intergral of( sin(pi*t/(2T)) e^ -j2*pi*f*t)dt . The lower limit is 0 and the upper limit is 2T ...This is acctually the Fourier transform of sin(pi*t/(2T)) where 0<t<2T ...I could do the Fourier...

Hello, What is the formula to calculate the power (W) of a sine wave electrical signal traveling through a wire if I know the frequency, voltage, and current? Thanks, Jason O

hey guys...so my teacher gave me this lil assignment and she said to explain (in words) the relationship between sine and tangent and cosine and tangent.i have no clue what I am doing...so if someone could PLEASE explain this to me...i will be so greatful! thankz

When a question asks Construct sine and cosine series for the function: f(t)=t, 0<t<pi. Should I assume the period of f(t) is pi? I think it must because the domain is discontinous at 0 and pi.

A baseball hit at an angle of a to the horizontal with initial velocity v0 has horizontal range, R, given by R = (v02 / g)sin(2a) Here g is the acceleration due to gravity. Sketch R as a function of a for 0 < a < pi/2. What angle gives the maximum range? What is the maximum range...

In an electrical outlet, the voltage, V, in volts, is given as a function of time, t, in seconds, by the formula V = V0sin(120pit) What does V0 represent in terms of voltage? Well, V0 is the amplitude, but I don't know what it represents in terms of voltage... I guess I'm just having...

Hello, I'm curious if anyone can shed some light on my seemingly opaque brain as to why Sine is an odd function and Cosine is an even function?

this is my question: A Building sways 55cm to the right from origin in 5 seconds and 55 cm to the left of the origin in 35 seconds. And i am supposed to write an eqaution to define this. I'm guessing the is no amplitude no vertical translation and since it's sine basically I am going to...

can anyone do the following integration?! PLEASE! S=integral sine S(lnz)^2

I'm interested in synthesizing complex waveforms using sine waves. I know that when two sine waves which differ slightly in frequency from one another are summed, amplitude modulation (AKA "beating") with a frequency equal to the difference in frequency between the two sine waves ensues. This...

Hi folks. I'm back to make a fool of myself again. It seems that I have a proof that the 'music' of the primes is caused by the interaction of a collection of sine waves. However, I have no idea whether this is old hat, trivial or interesting. Can somebody here tell me? PS. I don't know why...

hi, i was wondering why the sine function makes a squiggly line on the number plane. i know its not the right terminology so sorry for that. thanks

how would on integrate \int_{0}^{1} \sqrt{1 + 4t^2} dt trig sub sittution doesn't work since one doesn't get tan^2 +1 . i tryed solving this with matematica and it yielded something with a sinh argument. I am not familiarwi the hyp sine substitution.

By using the Sine formula in triangle ABC, show that: \frac{a+b}{c} = \frac{cos\frac{A-B}{2}}{sin\frac{c}{2}}. I've tried: \frac{2 sin C}{c} = \frac{sin A}{a} + \frac{sin B}{b} \frac{2 sin C}{c} = \frac{b sin A + a sin B}{a+b} \frac{a+b}{c} = \frac{b sin A + a sin B}{2 sin C} \frac{a+b}{c} =...

I am trying to do a sine curve regression on my collected data using my calculator, but when i do it i get an output that says: "Error:Singular matrix". What is happening?

How do I construct a circuit that will limit the positive half of a 20V peak-to-peak sine wave to 5.6V and the negative half to -2.5V? So far, I have a 1 k ohm resistor and the diode is forward biased leading to VL and Vout.

I tried to find the cosine series of the function f(x) = \sin x, using the equation below: S(x) = \frac{a_0}{2} + \sum_{n=1}^{\infty} a_n \cos(nx) where: a_n = \frac{2}{\pi} \int_{0}^{\pi} f(x) \cos(nx) dx I found: a_0 = \frac{4}{\pi} a_n = \frac{2 }{\pi (1 - n^2)} (\cos(n \pi) + 1)...

When I worked this problem, I came up with the following: sin 11pi/12= -sq root 2/4 (sq root3-1) cos 11pi/12= -sq root 2/4 (sq root3+1) tan 11pi/12= 2-sq root3 am I far off?

Dear All, I have an apparatus that produces a graph of results that looks to me like a sine wave (a half wave plate affecting the power throughput of a laser; it goes from maximum to minimum 4x throughout its 360º rotation). My problem is that I need to define this line as a formula but have...

Hi people, what is meant by sine, cosine, tangent angles, apart from their general definition of opp side/ hypo side; adj side/ hyp side and so on? how are these sine, cosines and tangent angles invented by humans?

i know that the sine integral converges to pi/2. But what about the abs value of the sine integral. It seems to me that it would have value oo. But I'm having trouble coming up with a lower bound that diverges.

Hi, This maths stuff is tstarting to hurt my head! :p Ok, I want to use a sine wave to make objects appear at an increasing rate and then a decreasing rate. e.g. where: y=sin(x) y = interval before next object appears so in Maple that'd be: plot(sin(x)+1,x=Pi/2..Pi+(Pi/2)); Now I...

Word Problem The leaning tower of pisa leans toward the south at an angle of 5.5 degrees. One day a shadow was 90 m long and the elevation from the tip of the shadow to the top of the tower was 32 degrees 1)Determine the slant height of the tower. First I found all the angles and then...

I was wondering exactly what sine is. i know that the relationship between sine and the angle is expressed as sinx=opposite/hypotoneuse. But is sine somekind of constant you multiply the angle with to get the O/H ratio? How did the people calculate the ratios without calculaters when they only...

"There are two sine waves having a phase difference of 20 degrees. After one reaches its maximum value, how much time will pass until the other reaches its maximum, assuming a frequency of 60 Hz." Should I go about this by assuming... sin(120pi*t) = sin(120pi(t + x) - 20) Any hints...

Perhaps this has already been brought up, but is an electromagnetic wave 2-dimensional or 3-dimensional? The current "up-and-down" concept does not have me convinced. If you look at a standard spring, you can see that it is a spiral/helix. You can also see that the side of the spring...

I'm trying to make a sine wave oscillator with unipolar amplifiers, and all the circuits I find are for bipolar amplifiers. I've tried to modify the bipolar circuit, but it doesn’t work. Can anybody give an idea or a circuit? thank you for your attention.

Simplify in terms of cosine and sine only. tan^2x - {csc^2x\over cot^2x} From here, I assume you can flip the fraction and make it {tan^2x\over sin^2x} next, i reduce it to: (sec^2x-1) - ({sec^2x -1\over 1 - cos^2x}) and anyway..im lost; i don't know where to stop and how...

Hello. Please can someone help me with this : f(x)=sinx For the above, is y a function of x OR is y a function of Sine ? Secondly, I don't understand what it means by : a f(x) and f(ax) where a is 2. What I need to know is what does each do to the graph of sin x...

If a force v time graph made a sine curve, then the acceleration v time would create a sine curve too correct? However, the velocity v time curve would look like a pi/2 shift to the right? Are these thoughts correct?

Does anyone know of any good oscillating circuits that are able to produce square, triangle, and sine waveforms (or any combination of these waveforms). The circuit that I'm constructing has to vary in frequency and is limited to using high-speed op-amps and other general components (resistors...

What does a three-dimensional sine wave look like? -Sam

Hi. I want some information about how to make this. But that's not the prob. the prob. is that you can only use: Diodes (Normal & zener), capacitors, inductors & resistors, U can not use complex devices. If U know something, please reply this message. Thanks. Ingyil. Colombia, S.A.

i was given this circuit diagram by one of my instructors this past winter (summer for you americans) so.. i tried 2 build it. three times i tried, it didnt work. twice on a copper board, once on a projectboard. the instructor & i checked them each over numerous times... he even tried to...

I'm a web developer working on a bit of javascript code for a personal project. I took through Calc II and linear algebra in college, but haven't looked at any of it a couple of years, so I'm a little rusty on the details. Anyway, what I'm trying to work out is a way to scale/transform an...

Is this an accurate way of displaying sine and cosine on a unit circle? :wink:

I'm trying to solve the Laplacian in 2D: uxx+uyy=0 in the quarter plane x>0, y>0 using a Fourier sine transform Boundary Conditions: u(x,0)=DiracDelta(x-a) , 0< x < infinity and 0< a< infinity u(0,y)=0, 0< y < infnity I transformed the PDE in x using the definition of the transform with...

Could someone help me find the solution of this ? x - y + z - 2 A sin(y+z) = C -x - y - z - 2 A sin(x+z) = C -x + y + z - 2 A sin(x+y) = C Where C and A are constant ? Many thanks