# Tagged Questions

38 views

### How to draw the graphs for these functions?

Could I please be helped with the graphs for the following functions: $$y=\lceil \tan x \rceil, \quad y=\tan (\lceil x \rceil), \quad y=\lceil \tan (\lceil x \rceil) \rceil$$ I have been able to ...
30 views

### How to normalize a slope?

Say I have two slopes and two averages for a sample: $m=4{,}000$ dollars/day, average $a=50{,}000$ $n=80{,}000$ dollars/day, average $b=700{,}000$ Graphically, $n$ is very ‘steep’ compared to $m$. ...
37 views

Is there some systematic way to trace the graphic of $\cos(x) + \cosh(y) = k$ given a fixed value for $k$? Suppose $k = 1$: if I choose empirically $y = 1.2$, I know that should be $\cos(x) = - ... 1answer 16 views ### Ordering angles using max and min functions I'm using the awesome Desmos Graphing calculator to graph cyclic quadrilaterals. The idea is that the user can drag a slider to change the value of the angle of each point A, B, C and D. I have done ... 0answers 38 views ### What is the number of x-intercepts in this graph of sine? The function :$y=3-4\sin(2\pi x-3\pi)$.. how many$x$-intercepts over the interval$[0,2]$? I am confused if they're 3 or 5 because there are 3$x$-intercepts that are really intercepting ... 1answer 36 views ### What's a fast way to sketch$y=\sin (5x) + \frac{3}{10}x \sin (5x)$? What's a fast way to sketch$y= \sin (5x) + \frac{3}{10}x \sin (5x)$? I had this question as part of a recent test paper and I had to sketch it for the range$0 \leq x \leq \pi$. It was for only 2 ... 0answers 35 views ### How to approach sketching sine and cosine graphs with transformations Any tips or suggestions in sketching these graphs quickly, and in ONE go? In exams, I don't want to spend ages re-drawing the original sine/cosine graph, one by one, following each new ... 1answer 18 views ### Question about graph of sin function There is question I had on my mind for 3-4 years. If you have a function:- f(x) = (sin(x))^n If you increase the value of n slowly the Value of the function at all points, except where it is one, will ... 1answer 186 views ### Very interesting graph! I found a VERY interesting graph on http://www.xamuel.com/graphs-of-implicit-equations/. It looked very, very cool, but the equation of the graph is so simple! Here is the image of the graph: My ... 5answers 106 views ### Rewrite$f(x) = 3 \sin (\pi x) + 3\sqrt{3} \cos (\pi x)$in the form$f(x) = A \sin (Kx+D)$I got a question like that said "Rewrite$f(x) = 3 \sin (\pi x) + 3\sqrt{3} \cos (\pi x)$in the form$f(x) = A \sin (Kx+D)$". I'm inclined to think that since the periods are the same ($2$), that ... 2answers 68 views ### Draw the graph of$y=\frac{1}{3}\cos(x)$How can I draw the graph of$y=\frac{1}{3}\cos(x)$with the point along$x$-axis are$0,\pm\frac{\pi}{2},\pm\pi,\pm\frac{3\pi}{2},\dots$. Also show the corresponding points along$y$-axis. 2answers 89 views ### Formula for solving for Cx and Cy… I'm trying to create a formula to find the third point in a triangle based on two known points and three known sides. Known Sides:$AB, BC, AC$Known Points:$A(x, y), B(x, y)$Unknown Points: ... 3answers 4k views ### Determine third point of triangle when two points and all sides are known? Determine third point of triangle (on a 2D plane) when two points and all sides are known? A = (0,0) B = (5,0) C = (?, ?) AB = 5 BC = 4 AC = 3 Can someone ... 0answers 93 views ### Splitting parametric curve equation into two ranges I am examining the speed of motion on curves and in the textbook i am reading , the example was showing that using a parametric equation for an ellipse will result in a regular motion (as expected) , ... 2answers 105 views ### Several questions about trigonometry and functions Any help on any of these questions is appreciated. I am studying for my finals and I couldn’t do these questions. Please help. Prove that$\sin^2(x)-6\sin(x)-5=0$has more than one solution for ... 2answers 197 views ### Evaluate$\cos (-2\pi)$using radiants graph I plotted$2\pi$on the$\cos$graph and the result was$1$, so I assumed$-2\pi$would be$-1$, but it turned out to be$1$. Can someone explain how to work this out? 2answers 115 views ### How to graph the trigonometric function when period is more than the range? I have to graph this trigonometric equation for a given range,$y = -\sin⁡ \left(\dfrac{x}{3}\right) - 2, ~-\dfrac{\pi}{2} \le x \le \dfrac{\pi}{2}$But the period is coming out to be$6 \pi$. ... 5answers 152 views ### Graphing$\sin(|x|)$? I'm confused on how the graph is in quadrant II and III. If$|x|$is evaluated first wouldn't all the answers be positive, so that when the range of$|x|$is plugged into$\sin$wouldn't the range of ... 2answers 635 views ### Why do we use the inverse conversion formula to convert slope per radians to slope per degrees This is a contribution question I'm making in hopes that others may benefit. I will provide my answer underneath. Initially I wanted to ask this question, but I solved it myself and I'd like to give ... 0answers 73 views ### 3d Implicit Trigonometry help? I'm trying to understand implicit 3D trigonometry, specifically with this equation: $$\sin(y)+\cos(z)=\cos(x)$$ Can someone please explain to me what is going on with this equation? I really can't ... 1answer 169 views ### Intersection of a point and absolute value function contained within a circle I'm attempting some crazy ideas while programming a game and ran into the following math problem that has been bugging me for a few days: Given a unit circle and a random point$P$within the circle, ... 1answer 317 views ### How are the parametric equations describing the cupid curve derived? [duplicate] No doubt as some people have already seen, today morning wolfram posted the best valentine ever. The graph depicting cupid with its arrow and floating hearts around it involves something like 6 pages ... 4answers 798 views ### Romantic Math Equations [closed] Try the following in Google: sqrt(cos(x))*cos(300x)+sqrt(abs(x))-0.7)*(4-x*x)^0.01, sqrt(6-x^2), -sqrt(6-x^2) from -4.5 to 4.5 Are there any other interesting ... 2answers 85 views ### What is the equation that fits this curve? I have a curve that looks like this (it's cyclical): Curve I can get a partial fit by fitting a 3rd degree polynomial, but I have a feeling there must be a better fit (something that involves sin ... 1answer 1k views ### General Cartesian/Rectangular Equation for Polar Rose ($r=\sin(k\theta)$) How do I convert the Polar Equation$r=\sin(k \theta)$to Cartesian Equation? I understand that$r^2=x^2+y^2$and that$x=r\cos\theta$and$y=r\sin\theta$, but no matter how I try to arrange them it ... 1answer 326 views ### How to find the limit of$\sin(f(x))$, given the graph of$f(x)$The full question is uploaded here: http://imgur.com/EZekb Basically, given the graph shown in the image above, I thought that the limit of$\sin(f(x))$would be$\sin(2)$, since the limit of just ... 2answers 73 views ### How to obtain more than two abcissas for one ordinate? I'm reading a book on trigonometry and the author shown that some of the examples contain one abcissa for one ordinate and he showed that a parabola has two abscissas for every positive ordinates, I ... 2answers 193 views ### OCR: some App to calculate the derivative on a line graph with iPhone/iPad? Problem I have a set of points like the ones shown on the right hand side of the image. So for each 'Ships Head' there is a corresponding value for 'Deviation'. In this example we can treat west ... 1answer 104 views ### How to graph this? I have a non-right triangle. I will call the bottom or base edge$b$, the top left edge$a$, the top right edge$c$. Let$ a=c+2 $and$b=10$. How do I graph a curve where the ... 5answers 1k views ### Why aren't the graphs of$\sin(\arcsin x)$and$\arcsin(\sin x)$the same? (source for above graph) (source for above graph) Both functions simplify to x, but why aren't the graphs the same? 1answer 158 views ### Sketching graph Exponential and logarithmic functions. Sketch the graph of each of the following (labelling asymptotes), and state the range of each:$y=3^x+1$is below graph. I have no idea, how can it get$(0,2)$i know that the$+1$is asymptotes, ... 1answer 76 views ### Draw$\cos2\pi10t$on graph How do I draw this graph? Eg.$\cos\pi$starts at y=1, flows down to x=$\pi$as the mid point where y=-1 and goes back to y=1. I'm not sure how to decipher the$2\pi10t$here and put them into ... 1answer 219 views ### polar graphs and investigation I am new to polar graphs and I am trying to investigate some certain cases: What happens when you change the$b$value to different positive integers in polar equations of the forms: ... 1answer 59 views ### Does the area of web chart diagrams depend on the order of items? I am trying to discourage people from using radar chart diagrams (e.g. this one) where this is not appropriate. I have already made the point that the optical effect will be distorted because ... 6answers 565 views ### Intuitive Explanation of the graph$y = \sin x$[duplicate] Possible Duplicate: Intuition for graphing Sine/Cosine We've all seen the graph of$y = \sin x$(I can't post an image because of reputation so I posted a link to a graph) Sine Graph ... 2answers 204 views ### Can you explain why plotting$\cos(\cos(90 \sqrt{x}))$looks like this? Can you explain why plotting$\cos(\cos(90 \sqrt{x}))$looks like this: (from here) 1answer 877 views ### Combining Sine Waves on Chart I would like to combine multiple sine waves with differing amplitudes, frequencies and phases into a single curve that I can display as a graph. What formula will I need to create the points for the ... 2answers 100 views ### How to graph equation So the problem is to find all points$(x,y)$on the real plane such that$f(x,y) = \cos^2(x+t) + 2\sin(x+t)\cos(y) - \frac{(\cos y - 1)^2}{2} - \sin(x) \lt .5$for all real$t$. I'm not sure where to ... 1answer 240 views ### Graph for$f(x)=\sin x\cos x\$

Okay, so in my math homework I'm supposed to draw a graph of the following function: $$f(x)=\sin x \cos x.$$ I have the solution in the textbook, but I just can't figure out how they got to that. So, ...