1
vote
1answer
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 ...
0
votes
1answer
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 $m$. ...
1
vote
1answer
37 views

How to trace the graphic of $\cos(x) + \cosh(y) = k$?

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) = - ...
0
votes
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 ...
1
vote
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 ...
0
votes
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 ...
1
vote
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 ...
0
votes
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 ...
6
votes
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 ...
2
votes
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 ...
0
votes
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.
1
vote
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: ...
4
votes
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 ...
1
vote
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) , ...
-4
votes
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 ...
0
votes
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?
1
vote
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 $6 \pi$. ...
4
votes
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 ...
2
votes
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 ...
1
vote
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 ...
1
vote
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, ...
3
votes
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 ...
2
votes
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 ...
1
vote
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 ...
1
vote
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 ...
3
votes
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 ...
2
votes
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 ...
4
votes
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 ...
1
vote
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 ...
11
votes
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?
0
votes
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, ...
2
votes
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 ...
1
vote
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: ...
1
vote
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 ...
2
votes
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 ...
1
vote
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)
1
vote
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 ...
5
votes
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 ...
3
votes
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, ...