Trigonometry Definition and 664 Threads

Homework Statement I'm currently in cal 1 and we are doing trigonometry identities for review. I can't recall ever seeing a sum/difference formula for secant in precal (1) Prove secant² (4θ) / 2 - secant² (4θ) = secant (8θ) (2) Prove tan(x)/(1-cot(x)) + cot(x)/(1-tan(x)) = sec(x)csc(x) + 1...

b]1. Homework Statement [/b] Hey, I have a problem that I worked out in a trigonometry book. I got different answers from what the book gave, but I think that I am right and the book is wrong. Could someone please tell me who is right? Homework Equations Okay, they gave me the following...

SOLVED, thanks to Dick and viciousp! Homework Statement The question asks: Find the limit. Use L'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. If L'Hospital's Rule doesn't apply, explain why. Limit as x approaches pi/2 from the right (+) of...

SOLVED! Thank-you jhicks and Tedjn! I am taking a basic calculus course and have some weaknesses when it comes to trigonometry. In this case, it's pure trig. Homework Statement The question states: "Find all values of x in the interval [0,2pi] that satisfy the equation sin x = tan x"...

i got to find the sin and cos of cylinder. in the cylinder system please help me

1. Homework Statement : Bob walks 360 m south, then jogs 490 m southwest, then walks 360 m in a direction 35 degrees east of north. Use either trigonometry or components to find the displacement that will return Bob to his starting point by the most direct route. Give your answer as a...

Homework Statement Bob walks 160 m south, then jogs 630 m southwest, then walks 160 m in a direction 32degrees east of north. a) Use either trigonometry or components to find the displacement that will return Bob to his starting point by the most direct route. Give your answer as a...

Homework Statement the gondola ski lift at kystone, Corolrado is 2830m long. On avg, the ski lift rises 14.6 degree above the horizontal. How high is the top of the ski lift relative to the base. Homework Equations tan * = ha/h The Attempt at a Solution i just...

hey guy I am new to the forum im having a hard time understand number 1, 4, 5. i post all the question for anyone to double check my answers. thanks for the help guys http://img176.imageshack.us/my.php?image=clipimage002ak9.jpg http://img176.imageshack.us/my.php?image=clipimage002ak9.jpg

guys , following is the problem (sinx)^4 + (cosx)^4 and (sinx)^6 + (cosx)^6 they are asking for the range for each of them i really have know clue how to solve this...any sugeestion please?...thanks for reading this!

Homework Statement Find the solution of 2(cos x + cos 2x)+sin 2x(1+2cos x)=2 sin x in the interval [-pi, pi] The Attempt at a Solution Simplifying: 2 (cos x- sin x)+ sin 2x +cos 2x +2sin 2x cos x=0 2 (cos x- sin x)+ sin 2x +cos 2x +sin 3x+sin x=0 cos 2x+2cos x+sin 2x-sin x+sin...

Homework Statement If tan x =\frac{2b}{a-c} y=a.cos^{2} x + 2b.sin x.cos x+ c.sin^{2} x z=a.sin^{2} x - 2b.sin x.cos x+ c.cos^{2} xProve y-z=a-c The Attempt at a Solution Assuming that the result to be proved is true; add y and z y+z=a+c and from the result to be proved y-z=a-c From this...

Homework Statement If m^{2}+m' ^{2}+2mm' cos \theta=1 n^{2}+n' ^{2}+2nn' cos \theta=1 mn+m'n'+(mn'+m'n)cos \theta =0, then prove that m^{2}+n^{2}=cosec^{2} \theta The Attempt at a Solution I have tri a lot but its difficult to eliminate m' or n' If I add the first to...

1.Solve the following for the principal values of the indicated variable. 2. 3cos x-1=2 3. 3cosx - 1 = 2 3cosx+1=0 im not sure what to do from here, I would ask a teacher or a tutor but it is summer work for a calculus course and i forgot what to do. I have looked in a...

Suppose y = f(x) * sin (kx), where k = wavenumber. If \int y*dy = 3*kx, solve for f(x)

Homework Statement Hello all, I am having trouble with the following homework question using trigonometric formulas and the Sine Law. Here is the problem: Jack spotted a hot air balloon from his house at angle of elevation 57 degrees. Jack's friend who lives 26 km from Jack's house spotted...

Okay guys, this equation is bothering me and I have no idea how to start: 4cosec(X) - 3sec(X) = 4cos(2X)

Yay, finally our Trigonometry final is almost here. I'm taking the test this tuesday, and have been reviewing today. One thing I've had a lot of trouble with is finding the correct sign on problems where I have to rewrite a trigonometric identity in terms of another. For example: Write...

Homework Statement suppose p and q are positive rational numbers with the condition : 0<x<Pi/2 find the minimum y=Tan(x)^p+Cot(x)^q Note:with trignonometry Homework Equations The Attempt at a Solution

Need some clarification in regards to trigonometry... Homework Statement For some reason, I am not seeing the cause of this. In attached problem 1, the Forces of x are described with a cos while forces of y are described with sin. In the second problem, the forces of X use sin and the...

I'm preparing for an entrance exam and i have this problem that is puzzling me. tan(5x) = tan(3x) I suppose i should start off by: sin(5x)/cos(5x) = sin(3x)/cos(3x) but i don't know what method to use. Should i break everything down to a single x? Please give me a hint how to start.

I've been given a problem by a chap on another forum, to do with making a computer game. The guy wants a missile pre-aim system (a little like clay pigeon shooting), where the target's angle in degrees and speed in pixels-per-frame are used in conjunction with the missile's own speed to...

Homework Statement Find the solutions for x: sinx<\frac{\sqrt{3}}{2} Homework Equations The Attempt at a Solution Will the solution for x be x\in (\frac{-\pi}{2} , \frac{\pi}{3}) ?? or x\in (\frac{5\pi}{6} , \frac{-\pi}{2}) or x\in (\frac{5\pi}{6} , \frac{\pi}{3})

Homework Statement I have one trigonometry circular, like on this "[PLAIN 00211.jpg"]picture.[/URL] On the picture there are pi/2 and -pi/2. Also I have another picture with inequality which "[PLAIN 00211.jpg"]I need to solve.[/URL] Homework Equations The Attempt at a Solution...

[SOLVED] trigonometry math 30pure Homework Statement a student is given the following sinusoidal 2 sin^2 (x)-5sinx=3 Homework Equations 1) Determine the solution to the equation , defined on the domain using a graphical approach over the domain 0 \leq x \leq 2 \pi. Give solutions as...

Homework Statement Find the values for x. 3sin^2x - 3sinxcosx + 2cos^2x > 1 Homework Equations The Attempt at a Solution 3sin^2x - 3sinxcosx + 2cos^2x > 1 3sin^2x - 3sinxcosx + 2cos^2x > sin^2x+cos^2x 2sin^2x - 3sinxcosx + cos^2x > 0 What to do next?

Hello hello everyone... I have a problem that I've been trying to figure out for a couple of days now. Its a question off of an assignment, and I have been busting my balls(excuse my french) with no results. HELP would be GREATLY appreciated...lthis is the question at hand: xsin(y) + x^3...

I am currently trying to strengthen my trigonometry skills and am therefore looking for a trigonometry problem solving book which contains practice problems and goes very in-depth. Does anyone know of any books which could help me with this?

4^{sinx} = \sqrt[cosx]{2} I use logarithmic and i get : sinx * log(4) = (1/cosx) * log(2) sinx*cosx = log(2)/log(4) what should i do next?

Homework Statement find the exact value of each expression tan[inverse sin(-1/2) - inverse tan 3/4] Homework Equations i know what the answer is because its in the back of the book but i don't know how to solve it and i asked the teacher and he doesn't help anyone. The Attempt at...

Homework Statement "Find the least positive value of the angle A for which: cosA = sinA and both are negative." Im having some trouble on this one as usually i would be given cosA=-0.2 or something but this has no figures... Any help?

I am looking for a general approach for a type of problems as follows... Certain circumpolar star has a maximum azimuth A given for example as an angle from North to East and from North to West. Whats the declination of that star? The problem looks like this: draw a celestial sphere and...

[SOLVED] Trigonometry cos A + 1 My little sis needs help w/ the following problem for her homework and to tell you the truth, aside from the fact that I'm too busy I have no idea how to explain this to her step by step. I would appreciate an explanation on how to solve it -- a solution would...

If tan2x=(-24/7), find the exact value(s) of sinx and cosx Working out the answers by hand, I get sinx = ±3/5, ±4/5 cosx = ±3/5, ±4/5 But by actually calculating x and plugging it into sinx and cosx, I get sinx = 3/5, 4/5 cosx = 3/5, -4/5 I'm pretty sure that the latter...

Two points, A and B, are given in the plane. Describe the set of points X such that: AX^2 + BX^2 = AB^2 I'm not really sure how to start this off. I've drawn the circle and a line going from A to B with a midpoint AB at the origin (AB). I also, solved for X which is...

Hiya, I'm really curious to know the rules of combining trig functions, say if: y = sin(x) + cos(2x) _How would I determine the period of the sinusoid (if it IS one) Is there a mthod of predicting if two sinusoids will compose another sinusoid, if there is I'm missing it. My textbook...

Why is cos(arctan x) = 1 / root(1+x^2) and sin(arctan x) = x / root(1+x^2)? I would greatly appreciate help. I'm studying for physics and this came up in one of the solutions. Thank you.

Homework Statement Use the algebraic method to write √2 sin x - √2 cos x in the form kcos(x + ϕ) where k>0, 0≤ ϕ ≤ 2π Homework Equations auxiliary form?? The Attempt at a Solution my working out: 1st: A= √2 B= -√2 K = √a^2 + b^2 = √(√2)^2 + (-√2)^2 = √2+2 = √4 =...

Hi. Could someone please help me with the following question? I would really appreciate any help as I am completely stuck at the moment. Solve sinx + sin(x/2) = 0 when x is between (and including) 0 and 360 degrees. Thank you. Cathy

Homework Statement There is a right angled triangle, with the following angles, a, b, and 90deg. If a < b, how many different values are there among the following expressions? sin a sin b, sin a cos b, cos a sin b, cos a cos b Homework Equations The Attempt at a...

Hello, I have been trying to solve this type of question but the results of my efforts are frequently disappointing. Since this is considered elementary and simple I have no doubt that someone can help me with this: Solve arcsin (3/5) + arctan (1/7). What if it had said 641/19 instead of...

edit- nevermind i got it okay what i figured so far is that the angle i am looking for is 30 degrees, b/c that bottom angle is 45, so the other angle total should be 45. and then i subtracted 15 and got 30. so i am thinking that the component that is suppose to be tangent would be 2cos30=Ay...

I've been really stumped by this one from my math class. It's a two variable trig. question with two equations. I believe there simultaneous but I'm not sure 3 = 1.2(cosx) + v(cos30) 0 = 1.2(sinx) - v(sin30) Solve for the values of x & v Please explain how you got your answer or...

My teacher told me that C sin(k x) + D cos(k x) = F sin(k x+gamma) if neither C nor D is 0 (gamma is a phase angle). How do you derive the expression on the right of the equal sign from that on the left?

Homework Statement If a, b, c are the lengths of the sides of a triangle, then the area K of the triangle is given by K=\sqrt{s(s-a)(s-b)(s-c)}, where s=\frac{1}{2}(a+b+c). The number s is called the semiperimeter. Prove Heron's Formula. Hint: Use the area formula K=\frac{1}{2}bc\sin\phi...

Homework Statement Prove the identity 11. 1 - co5xcos3x - sin5xsin3x = 2sin^2x 50. ln |secx + tanx| = -ln |secx - tanx| 52. The following equation occurs in the study of mechanics: \sin\theta = \frac{I_1\cos\phi}{\sqrt{(I_1\cos\phi)^2 + (I_2\sin\phi)^2}}. It can happen that I_1 = I_2...

First off, I was just moved up a grade (about 2 week ago) and the class is studying trigonometry. Homework Statement I have a triangle: Hyp = 10m Opp = 4m Adj= Unknown Feta = Unknown And I need to find feta. Homework Equations ? The Attempt at a Solution Well, I have...

What is the algebraic method to get from X = (pi)/4 + 2(pi)K into this form => X = (pi)/4 + (pi)/2K ? These are the general equations for all solutions to this original equation: 6 sin^2 X-3=0 , I can understand how to get the general equation graphically can someone show me how to get...

cos(2x)=2cos^2(x)-1 what algebrical rule guarantees me thet is right to divide both angles for 2: cos(x)=2cos^2(x/2)-1

Simple trigonometry... Just some simple Trigonometry... If sin x = 1/2, then what is sin (x + (pi/4)), if x is greater than or equal to 0 and less or equal to pi over 2? Method?