Trig functions Definition and 218 Threads

  1. D

    How Can I Correctly Graph the Trigonometric Function f(x) = 2cos(3x+pi/2) -1?

    i have a problem graphing trig functions such as f(x) = 2cos(3x+pi/2) -1 i know this should be very simple but i am missing something :frown: can someone explain the way youd go about graphing this amp= 2 period = 2pi/3 y trans = -1 x trans = (pi/2)/3 [right?] so when i try...
  2. S

    How Do You Integrate tan(x)sec^2(x)?

    Hello everyone, I am having some trouble finding the integral of tanxsec^2x. I honestly have no idea where to go with this one. I've finished all the others but this one is really screwing me up. I tried doing something with the chain rule but it didn't work out at all. I know that I am...
  3. E

    What is the Limit of the Tangent Function as x Approaches 0?

    Hello all. I missed a class in calculus so I didn't get the notes on this so if anyone could explain this question for me, it would be much appreciated. \lim_{x \rightarrow 0} \frac {tanx}{4x} = \frac {sinx}{cos4x} ? Not really too sure if I manipulated the equation right. Any hints...
  4. G

    Trig functions that i have to memorize?

    I am taking calculus and math 12 at the same time. Now we are doing limits of trigonometric functions, but i know nothing about it. What are some important trig functions that i have to memorize? Ex. I have no idea how to do these lim (tanx-sinx)/xcosx x->0
  5. F

    Calculating values of trig functions

    How does a calculator approximate a trig function. For example, you punch in sin(37deg) and the calculator will give you 0.6018150232. how does it figure this out?
  6. A

    Determine Value of Trig Functions

    My question is to determine the values of the primary and secondary tri functions at (-3,-4) on the terminal arm of an angle theta in standard position Im just wondering how do u know which quadrant this point is in? I have assumed it is in quadrant 1. Then that means x=-3, y=-4, and r=5...
  7. B

    Exploring the Link between \theta and Trig Functions

    I believe that calculators use Taylor expansions to compute sines, cosines and tan's based upon the argument \theta (in radians of course). However, my question is, aside from these expansions, is there some sort of link between \theta and the output of the function itself. I mean I know that...
  8. M

    Where did trig functions come from?

    I've been thought trig functions in school definitely, but never been told how were they invented in the first place! Also, is there a function like sin (theta)= something. If so, what are these functions?
  9. P

    How can i evaluate trig functions?

    however stupid it sounds, I don't know how to evaluate trig functions with my calculator... ex. d(t) =0.5cos2t how do i solve for t (lets say t is 2). Thanks in advance.
  10. K

    Simplifying Trig Functions: Understanding (a)(sin/cos/tan/cot/sec/csc) Graphs

    can sumone think of an easier way to graph trig functions in the forms (a)(sin(bx-c) (a)(cos(bx-c) (a)(tan(bx-c) (a)(cot(bx-c) (a)(sec(bx-c) (a)(csc(bx-c) I was wondering if sumone could explain what each part represents, like what does (a) does if i increase it, decrease it, make it...
  11. T

    Normal and inverse trig functions cancel each other out

    I'm a bit confused at the moment. All my books say that normal and inverse trig.functions cancel each other out like this \sin(\arcsin(x))=x and \arcsin(sin(x))=x But when I try this out on my calculator - TI-89 - it only wants to recognize the first equation as being equal to x. Is that...
  12. C

    Radian measures with Trig Functions?

    Guys, I am in Calculus 2, but I still have trouble seeing the answer when u plug in a radian measure into a trig function. My teacher assumes we know the answer right away. I know Sin(0)= 0 and Cos(0)=1, but that's about it. I don't know things like Sin(pi/2) I have to input it into the...
  13. C

    Solving arcsin(sin 3π): Step-by-Step Guide

    srry to be a bother but can someone help me on how to do this, it explains it in the book but i don't understand. Here it is: arcsin(sin 3(pi)) i would really appreciate ur help, and thxs before hand. :smile:
  14. G

    How to Solve Inverse Trig Functions Without a Calculator?

    Supposing I need to solve a problem like: sec(arctan 2) or cos(2arcsin(5/13)), is there a method I could use that would not require a calculator? What I mean is that for an example like tan(arccos .5), the answer is "simple" because I know the arc cosine of .5 is pi/3 and then the tan of pi/3 is...
  15. B

    How can I evaluate limits involving trig functions?

    I am having trouble with the following problems: 1) lim as x -> 0 of (sin 3x)/2x 2) lim as x -> 0 of (tan 5x)/(sin 2x) 3) lim as x -> 0 of (sin²3x)/2x 4) lim as h -> 0 of [(h+x)³ -x³]/h 5) lim as h -> 0 of [1/(x+h) - 1/x]/h *Thanks for your help
  16. A

    How Do I Integrate Nested Trigonometric Functions?

    How do I go about integrating sin[y*sin(x)]*sin(x) wrt x from -pi to pi, I've got that its an even function so I can change the limits to 0 to pi and double it, but I can't find the analytic answer. By parts? substitution? although for substitution I assume there needs to be a cos...
  17. G

    Is there a way to simplify trig functions using specific formulae?

    I am currently learning how to simplify trig functions, but is there a way to know which formulae to use? In my textbook there are three formulae: cos^2ttheta + sin^2theta = 1 1 + tan^2theta = sec^2theta cot^2theta + 1 = cosec^2theta I am also stuck in this question: prove this...
  18. P

    How was the chain rule used to find the derivative of a trigonometric function?

    I didn't understand how they arrived at this step: from can some one explain pls?
Back
Top