Tan Definition and 149 Threads

Can somebody explain what does tan px and tan qx mean? The problem is: lim as x goes to 0 tan px / (tan qx) I know its a calculus problem but I want to know what those trigonometric expressions are first

this isn't homework just wanted to know what the values are. tan -1 (infinity) = pi/2 tan-1 (0) = 0 what is sin -1 infinty and cos -1 infinity?

Homework Statement Solve: tan2x + tan x = 0 I have no idea on how to solve this one =/

Homework Statement State the range y=inverse tan( 2x) The Attempt at a Solution The original range of inverse tan is ( -pi/2, pi/2) Should tan inverse (2x) have (-pi, pi) as its range?

Homework Statement Given 0≤x<2pi, solve tan x/2 > -1 The Attempt at a Solution I thought I would set tan x/2=-1 but I'm not sure. Is the answer 0<x<pi, 3pi/2<x<2pi?

Homework Statement Data suggests rate of growth of bacteria is proportional to the tangent function evaluated on the amount of bacteria present at time t, up to 1.5 mg. After 1.5 mg, value maintained. pi/6 to pi/3 mg growth in 1 hour. How would I write a DE equation based on this? I'm not...

Homework Statement Im wondering if this question could be solved. Given that sin theta =a+b and cos theta =a-b Find tan theta when a/b=3 Solved alr.. the ans is 2. Homework Equations The Attempt at a Solution

Homework Statement What is the time rate of change of height after 5.0s?Homework Equations theta = 3t/(2t + 10) adjacent length = 1000 Therefore: opposite length (height) h = 1000 tan (3t/(2t+10)) The Attempt at a Solution I thought it would be simply finding the derivative of the second...

sorry, i hit enter too soon Homework Statement Y=x(sqrt(4-x^2)) how do I find all pts on the graph where the tan line is vert and hori? Homework Equations Y=x(sqrt(4-x^2)) The Attempt at a Solution y'=(x)(.5(4-x^2)^(-1/2)(-2x))+(sqrt(4-x^2))(1)

Homework Statement IN microsoft works spread sheet how do you insert a inverse tan function. that is I know the opposite and adjacent side lengths but want to use the tan function to find the angle of a right angle triangle.Please help ,simple I know but I just can't work out how to do it...

f(x)=x4 cos(2/x6) g(x) <= f(x) <= h(x) how to get g(x) and h(x) by using the squeeze theorem?? I know is something like this -1 <= x <= 1 But how do i implement it here, and especially to the cos, sin, and tan??

Homework Statement Find the sum Arc(tan1/2)+Arc(Tan1/8)+...+Arc(Tan1/2*n^2) Homework Equations nothing The Attempt at a Solution

Homework Statement Prove \frac{sin 2 \alpha}{1+cos 2 \alpha}-\frac{cos \alpha}{1+cos \alpha}=tan \frac{ \alpha}{2} Use half and double angle formulas, I get; The given expression is equal to: \frac{(2 tan \frac{\alpha}{2})(1+tan^{2}...

Homework Statement Deriv µs = tan θ For when a block is put on a wooden plank and the plank is lifted at one side. Homework Equations tan = sin/cos Ff = µFn The Attempt at a Solution Ff = µFn -mgsinθ= µ (-mgcosθ) µ =(-mgsinθ) /(-mgcosθ) µ = tan θ Where i am confused is why Ff...

Homework Statement Find the domain and the first derivative of 2[arctan(e^x)] Homework Equations d/dx arctan(x)= 1/(1+x^2) The Attempt at a Solution I'm not sure about the domain... For the derivative: d/dx 2[arctan(e^x)] = 2 [1/(1+e^x)^2] (e^x) But my teacher had the same answer excluding...

Im doing a differential equation and end up with my last step, which is an integration. I can't seem to remember how to integrate this one int. (tanx)/(1-cosx) hmmm [(sinx)/(cosx)] / (1-cosx) u = cosx du = -sinx dx throw a negative outside the integral...

I was asked to find dy/dx of inverse tan of x , which is 1/(1+x^2) Then its says, using that dy/dx ^^^^^ equal to a particular series, find the first 4 terms of inverse tan of x. I'm confused? What is it asking here??

Homework Statement Find tan x if \dfrac {\sin^2 x}{3} + \dfrac {\cos^2 x}{7} = \dfrac {-\sin(2x) + 1}{10} Homework Equations Trigonometric identities. The Attempt at a Solution I have tried removing the cos squared on the LHS by using \cos^2 x + \sin^2 x = 1 and then...

Today's Astronomy picture of the day is visually appealing as well as scientifically revealing. http://antwrp.gsfc.nasa.gov/apod/ap070516.html The text points out that the foreground galaxies are tan in color while the background distorted ones are blue. Does anyone know why this should be...

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...

I've done this problem but am not comfortable with the answer. Could someone take a quick look? Limx->0 tan x /x Limx->0 sec^2x ==> 0 I'm just not sure this is right...

Homework Statement how would one calculate 4 \int_0^{\frac{\pi}{2}} \frac{\cos^2 \theta}{(1 + \cos^2 \theta)^2} d \theta ? The Attempt at a Solution someone suggested a u = \tan \theta substitution, but i don't understand why and how this would help me. couldn't i just use u = \cos t?

Find \sum_{1}^{n} \tan(a f_{n} ) \cos x = 1 - {x^2 \over 2!} + {x^4 \over 4!} - \cdots \sin\left( x \right) = x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^7}{7!} + \cdots \tan(x) = \sin(x) / \cos(x) There might be equations for the summation of a series of sine functions or an equation...

Homework Statement Evalute: a) lim (x->0) (arctan x)/x b) lim (x->1) (arctan(x) - pi/4)/(x-1) Homework Equations Inverse tangent, trig identities. Kline's calculus, which I am teaching myself from, does not have that much detail on limits. The Attempt at a Solution For (a), I...

I am trying to prove this equation: Sin 6x Cos 4x + Cos 4x sin 2x = Cos 2x tan 8x Tan 8x does anyone have any idea??

Hi there i am trying to make this equation look exact. (Cos(2y)-Sin (x)) dx-2 Tan (x) Sin (2y) dy = 0 What I've done so far is take the partial with respect to x and y. So, my M_{y} is equal to -2 Sin (2y)-0 and, my N_{x} is equal to -2(Sec^{2}(x)) Sin (2y) Which makes it...

Here is another problem that might be related to my last post. These dang sec and tan. Anyway, here goes... \int\frac{x^3}\sqrt{{x^2+1}}\dx Oh man.. above is a feeble attempt to write with the LaTeX language. that was my first attempt and a terrible one at that. Haha.. Sorry about that...

My class, teacher included, cannot seem to figure out the integral of the square root of tan x. Maybe someone here can help? thanks, jeremy

Okay can anyone tell me why is this true for restriction of 0 < x < 360 sin(x)=0.15, x = 8.6 and 171.4 cos(x)=-.655 x = 130 and 230 tan(x)=0.75, x = 36.9 and 216.9 I don't see a pattern or rule... please co-ordinate me through the use of graphs if you can my teacher didn't explain it well.

Use the compound angle formulas and appropriate angles to find the exact value of each of the following: D. d tan (pi/12) thank you

Can some one tell me how sin, tan and cos came about. I know the equations, but i want to know how it brought about.

I'm learning physics, and I'm reviewing over the trig part of the chapter. My professor does not allow us to use calculators. I'm looking at the inverse of the trig functions. What I don't understand is : it says that the reciprocal does not equal the inverse. like tan -1 does not equal 1/tan...

Solve the following question. Give your answer in cert form .Thank you . sin-1 x + sin-1 (2x) = pie/3

In my Physics 231 class (Calculus Based) I was given a homework problem asking me to prove the following equation. It had a picture attached but the equation was: Tan (theta) = 1 + (2M / m) The two (m) represent different masses balanced in equilibrium while hanging with 3 tension forces...

HOw does y-3=-\tan (-2x+\pi) differ from y=tan(x) y=-\tan [-2 (x+ \frac {\pi} {2} )] +3 rearranged It differs because it has a Horizontal compression by a factor of 1/2 it is reflected in the x and y-axis there is a horizontal translation \frac {\pi} {2} units to the left...

Is there an "prettier" way to obtain a taylor series for tan x about pi/2? Currently, I expand sin and cos and do polynomial long division. The typical application of the formula doesn't seem to work because of the singularity about pi/2. Thanks.

the tan graph is in the form y=atan(b(x-c))+d how do you determine the "EXACT" x-intercept of this graph in radian form when the d value does not equal 0 and is there a formula for finding the x-intercept when given the equation in the form above using the values of a,b,c and d which control the...

Hi If w=tan z How would I show that any w not equal to +i or -i, is the image of some z in C, and what are the solutions of w=tan z if w doesn't equal to +i or -i? I can easily show that tan z can never equal +i or -i, but that's not the same thing also. Note: without using the...

hiiiiiiiiiii i am here with a very tough question prove tthat tan 50 * tan 60 * tan 70 = tan 80 cheers abc

the question is: find the exact value of tan 285 deg + cos 75 deg + cot 60 deg i tried converting them to radians and got tan 5pi / 12 + cos 5 pi / 12 + cot pi / 3 by "exact value", the question means fractions, not decimals. as far as i know, only the cot part has some special...

doing a problem but can't figure out the answer: Given the following, evaluate csc(theta): cos(theta) = 1/2 tan(theta) = negative a> 2 b> -2(square root of)3/3 c> 2(square root of)3/3 d> -2 any help?

How do I find the exact value of tan 165 and tan 285 I think it has got something to do with sinx tanx = cosx

Assume you are given tan (pi/6). This means sin (pi/6)/cos (pi/6). But my question is, if you are given sin (pi/6) or cos (pi/6), is it possible to derive the numerical value without using calculator? -Thank you in advance.

How do I do this? Thanks.

I don't understand how they figure these problems out. Give the quadrant in which each of the following points are located, and determine which of the functions are postive and which are negative. (4, 3) Quadrant I; SIN +; COS +; TAN +; CSC +; SEC +; COT +; I understand that I think...

Hi can anyone tell me what is tan 50 in fractions? -benzun

How do I perform this integral? \int \sec^2{3x} \tan^5{3x} \,dx

y = x tan x y' = tan x + x*sec^2(x) y'' = sec^2(x) + d/dx (x*sec^2(x)) = ... + (d/dx(sec^2(x)) + sec^2(x)) = ... + (2secx + sec^2(x)) = 2sec^3 x + sec^4(x) what did I do wrong?? in book it says y'' = something else.

sin hx, cos hx, tan h x... What are they? What does the "h" mean here? Any explanations or websites would be appreciated. :smile: