Trigonometry Definition and 664 Threads

I am not sure if this is entirely possible, as my spherical trig skills are lacking. Would it be possible to determine the Lat and Long coordinates for a position on the Earth knowing the following. True North Pole is at 90°N Geomagnetic North Pole is at 82.7°N, 114.4°W Knowing the...

Find Exact Radian Solution OR to nearest 100th of a radian sqrt(3) sec x = -2

Hello, I'm studying for an exam and am stuck on a trigonometry question. Could anybody help me out? The question is: Solve the equation cos3x = 1/2, for x is an element of R, (where x is in radians) The answer is: x = pi/9 + 2npi/3 or x = 5pi/9 + 2npi/3 where n is an...

Homework Statement I need to prove that \frac{\frac{1}{2} cot20^{o}-cos10^{o}}{\frac{1}{2}+sin10^{o}}=\frac{\sqrt{3}}{3}The Attempt at a Solution I try to do it by this way \frac{\frac{1}{2}...

Homework Statement The equation is here: http://www.wolframalpha.com/input/?i...E2%2F%28.98%29 You are trying to solve for the angle in this case x wolframalpha gave a solution to this problem but it did not show the steps and I can't use that on the test. So can anyone please do the...

Hello, I've recently been reading "Calculus made Easy" and realized that I've completely skipped over learning trigonometry. After the class I was taking (seventh grade advanced math, sadly) became completely insufficient for my desire to learn. I picked up the book at the local library...

Homework Statement tan-1[2x/(1-x2)]+cot-1[(1-x2)/2x]=2π/3 2. The attempt at a solution tan-1[2x/(1-x2)]+cot-1[(1-x2)/2x]=2π/3 tan-1[2x/(1-x2)]=2π/6 take tan on both sides 2x/(1-x2) =sqrt(3) quadratic equation so it should have 2 solutions(sqrt(3) and sqrt(1/3)).But this question...

Homework Statement Prove this statement. (1+sinx)(1-sinx)=cos^2 Homework Equations sin^2x+cos^2x=1 The Attempt at a Solution statement Reason (1+sinx)(1-sinx) Given 1^2-sinx+sinx+sinx^2 GCF 1+sinx^2...

In my career, so far, the first two pages of the attached sheets contains everything I've ever needed to have in my head; the last sheet contains most things I've had to derive. I hope you find this helpful. https://www.physicsforums.com/attachments/910._xfImport Comments and questions should...

Homework Statement Show that the exact value of tan°43' is \frac{\sqrt{5}-1}{2} Homework Equations The Attempt at a Solution tan2x = \frac{2tanx}{1-tan^{2}x} \frac{2tan31° 43}{1-tan^{2}31° 43'} From here, i got stuck or I'm doing it wrongly, i forgot how to do it...

Solve: sin^2x = (sinx)(cosx) 0 < x < 2pi Find exact solutions. Okay, so I got 0, pi/4, but just wasn't sure how to do this... I know you bring the sinxcosx to the other side, making it sin^2x - sinxcosx = 0 ...and then I tried factoring out sinx leaving me with sinx(sinx -...

Homework Statement Find all the solutions of each equation in the interval (0, 2∏) cos(2x)=1/2Homework Equations -None- The Attempt at a Solution cos(2x)=1/2 2x=(cos^(-1))*1/2 2x= ((∏)/3), ((5∏)/3) 2x= ((∏)/3), ((5∏)/3), ((14∏)/6) x= ∏/6, ((5∏)/6), That's all I have. I know there is one...

1. sin θ / √1-sin^2 θ I don't know this, I know sin = 1 / csc but I not sure how to do this problem :( I don't know about the √1-sin^2 θ

In this question 3 bi http://www.xtremepapers.com/CIE/International%20A%20And%20AS%20Level/9702%20-%20Physics/9702_w07_qp_2.pdf to find gravitaional poteintial enrgy we need to find Δh. which is the vertical difference between the two spheres shown in the diagram. How do i find that? Answer...

Homework Statement Is there a way to solve this for a? \frac{r\sin a}{t - r\cos a} = \cos \theta r\sin a=t\cos \theta - r\cos a \cos \theta Homework Equations The Attempt at a Solution I am not that good with trig...this isn't a homework problem but since it is like one it belongs here. My...

The idea of a circle divided into 360 degrees that goes clockwise has been around for thousands of years (see orienteering compasses). So, why do radians and angles in trigonometry go counter-clockwise and start off pointing to the right? Was that on purpose?

Homework Statement Hello again, not looking for anyone to solve this problem this time I just need to know what the operation I'm supposed to do is called, so I can go research it and learn it. If sin(t) = -12/13 with 3pi/2 < t < 2pi, find the following: b) cos(t - 11pi/6) Homework...

Can someone please let me know how to find x in π/4=arctan(x+arctan(x+...)) ?

Homework Statement Given that 1+2cosx+2cos2x+2cos3x + ....+2cosnx = sin(x+1/2)x cosec(x/2) Prove that 1-2cosx+2cos2x-2cos3x+....+2cos8x = cos(17/2)x sec(x/2) Homework Equations The Attempt at a Solution 1+2cosx+2cos2x+2cos3x + ....+2cos8x = sin(8+1/2)x cosec(x/2)...

[PLAIN]http://img832.imageshack.us/img832/449/physicsu.png By c42711 at 2011-10-30 I am supposed to find the X and Y components of the above vector. What I tried to do first was dot in a line, forming a triangle. I then tried to find the length of that line using tangent. I got 431.8, but I...

Hi, I'm here to just ask a simple question: What is "grade" in Trig? I have been presented the question: "A bus traveled up a road that had a grade of 15%. What angle does this correspond to, what ratio and what slope is this?" I have not made an attempt on this question because I don't...

Hey all, BACKGROUND: (please note that knowledge of this is not necessary): I'm currently writing a javascript application using vectors (with jquery and raphaeljs) that enables me to rotate custom text (using font.js file, not normal fonts). However, due to a bug in the new version of raphael...

Homework Statement Previous part of the question I have solved: Express cos(2x) in terms of sin(x): I got this answer: cos(2x)=1-2sin2(x) Hence or otherwise solve the equation cos(x) + 3sin(x/2) = 2 Homework Equations Double angle formulae: cos(2x)=cos(2x) - sin(2x)...

I'm new to this forum, anyhow thanks for the admin making such forum, doesn't matter ! I've been trying this calculation for one day still no answer, Homework Statement cos (A/2)+cos (B/2)+cos (C/2)=4cos [(B+C)/4]*cos [(C+A)/4]*cos [(A+B)/4] A+B+C = pi Homework Equations The Attempt at a...

Hey guys I am new in this forum so if i posted this question in the wrong section, please notify me. Anyway. My concern here is this. So I am trying to find the RATE OF CHANGE of f from pi to 11pi/6 f(x)= tan x I have attached the part i need help on. Note: This is very simple but...

1. A man points his rowboat north from A to B, straight across a river of width 100 m. The river flows due east. The man starts across, rowing steadily at 0.75 m/s and reaches the other side of the river at point C, 150 m downstream from his starting point. What is the speed of the river...

I am having trouble solving this question, please help and show work! Thank you! A boat that can travel at 4.0 km/h in still water crosses a river with a current of 2.0 km/h. At what angle must the boat be pointed upstream (that is, relative to its actual path) to go straight across the...

Homework Statement Prove or disprove the following equation. (n+\pi/2)+n\pi=(2n+1/2)\pi n=0,1,2,3... Homework Equations None. The Attempt at a Solution I have simplified the equation to this form, I just need help proving it. Thanks in advance.

Homework Statement A smooth sphere collides with an equal sphere which is at rest. Before the impact the line of motion of the first sphere makes an angle A with their line of centers, after the impact this is angle B. The coefficient of restitution is 1/4. Show that 8TanA = 3TanB Homework...

This is not homework question, just curious about it though. This problem is supposed to be done without a computing device and was in an exam at a university course. I don't think it can be done. Homework Statement I want to find the maximum of this function: Y = sin(x) + sin(2x) Homework...

Hey everyone! I want to study trigonometry thoroughly without having to take the course, mostly since I'm taking Precalculus this semester and I'll be learning most of the principles of trigonometry in this course. I want to study it carefully so that I can get myself better prepared for...

Homework Statement Suppose sin^3xsin3x=\sum^n_{m=0}{}^nC_mcosmx is an identity in x, where C0, C1, ...Cn are constants, and Cn \neq0, then what is the value of n? Homework Equations The Attempt at a Solution I expanded the sigma notation and got:-...

Homework Statement Well basically I'm trying to learn trigonometry from a textbook. It shows a rule, to change from degrees to radians, multiply by pi/180. to change from radians to degrees, multiply by 180/pi . Homework Equations The Attempt at a Solution I'm the type of...

I wasn't sure what to title this thread, so I apologise if it is misleading. I took trigonometry in high school and remember the fundamental things (unit circle, identities, sohcahtoa, right triangles, the law of sines, cosines, etc.). I have been able to handle trigonometry in calculus...

Homework Statement will sum1 prove this ...@=theta 1-cos@ / sin@ = tan(@/2)Homework Equations The Attempt at a Solution i tried to do this cos@ = cos^2(@/2) - sin^2 (@/2) wat now? ... thats doesn't get me anywhere

First of all, sorry if I posted in the wrong category (it happened with the last topic I made, all this names are confusing :D ). I made this topic because I don't know trigonometry. Just a few notions (like the formula of sin,cos,tan). But I also hate it a lot. And because learning is...

Hi, I was about solving a refrection problem and I'm just one step away from the solution. I stuck at some simple problem I guess. I have: \alpha=60°+\frac1 3 arcsin(\frac1 {1,33} sin(\alpha)) and I want to find the alpha but I have troubles to solve this. I guess it's not that...

Homework Statement 1. Given a,b,c are acute angles and a + b + c =180. find the minimum of tan(a).tan(b).tan(c) 2. Prove that if a+b+c=90, then tan(a)+tan(b)+tan(c) >= 31/2 Homework Equations The Attempt at a Solution I don't even have any ideas how should i start to find/prove them... any...

Homework Statement Given that sin(a) + cos(b) = 31/2/2 and sin(a) + sin(b) = 3/2 Find cos(a-b) Homework Equations The Attempt at a Solution Can anyone give me some hints?

I'm working on some trigonometry identity problems, and I'm stuck on this particular problem. This is how it is shown in the solution, but I cannot see how to get the highlighted part. Any help on how to get from #2 to #3 (the highlighted) is very much appreciated Jesper

Homework Statement Evaluate http://img828.imageshack.us/img828/3383/msp588119g042f0f3ba0368.gif without using calculator or tables. Homework Equations The Attempt at a Solution I have no ideas how tan37 and tan23 can be found... can anyone give me some hints? The answer given...

Im trying to use spherical trig to solve a problem In the standard method to compute the angles, I already have only the following four angles A, a, B, b but from these, how can I compute either C, or c? Thanks

This is a simple question but I really need to know why: why is the alternate form of arccosh(x) = log(x + sqrt(x^2 - 1)) and not log(x - sqrt(x^2 - 1)) How do I justify the plus/minus sign? I need to know this ASAP, thanks.

Homework Statement Find Maximum and Minimum value of Homework Equations \mathbf{f(x) = sin^{2n+1}\; x - cos^{2n+1}\; x} and \mathbf{n\in\mathbb{N}} The Attempt at a Solution put \mathbf{n=1, f(x) = sin^3\; x -cos^3\; x}\\\\ get \mathbf{-1\leq f(x)\leq 1}

How would I calculate the force acting on the bottom beam in the arrow shown? http://www.flickr.com/photos/the_other_shots/5726954751/

1. Explain why the functions y= cos x and y = sin(x+90) are the same function. Explanation must be detailed include graphs if you wish. 2. Outline why the identities are referred to as Pythagorean identities: sin²θ + cos²θ = 1 1 + tan²θ = sec²θ 1 + cot²θ = csc ²θ HELP...

Homework Statement cos x is a first quadrant angle in standard position and cos x =1/√10 . Find the exact value of sin . Homework Equations ? The Attempt at a Solution ?

Hi A surveyor is attempting to calculate the height of a Point P, on a building by taking measurements on a horizontal level ground. From a point A, the angle of elevation of P is 30 degrees. He then advances 20 m towards Point P, Point B, and measures an angle of elevation of 45 degrees...

1) A piece of paper is in the shape of a sector of a circle. The radius is 8cm and the angle at the centre is 3pi/4 radians. The straight edges of the sector are placed together so that a cone is formed. Show that the base of the cone has a radius of 3cm. Find the area of theh curved surface of...

Homework Statement Find lim x -> 0 \frac{sin x}{sin\frac{x}{2}} The Attempt at a Solution Since period of sin 2(x/2) is T/2 compared to period T of sin (x/2) sin 2(x/2) nears twice the value of sin (x/2) for all values of x approaching zero. Therefore lim x -> 0 \frac{sin...