Trig

posted by .

Can somebody please help me find the domain of:

1 / cos4x

If there are any working out, could you be kind enough to show your steps? Thankyou. All help is of course, appreciated.

  • Trig -

    1/cos4x is real as long as cos4x is not equal to zero.

    the period of cos4x is 2pi/4 or pi/2 (90º)

    so the first time that cos4x is zero is at x=pi/8
    repeatedly adding or subtracting pi/4 (45º) to this will give us another zero.

    so the domain for 1/cos4x is
    x is any real number except x = pi/8 ± kpi/4 where k is an integer.

    Of course y = 1/cos4x is the same as
    y = sec 4x, which would have vertical asymptotes at the values of x described above.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Trig

    Hi. Can somebody help me solve this equaton with EXACT answers?
  2. trig

    can you please show me in steps how to find f(1+a) in this equation f(x)=-2x^2+4x+6 i know that you will plug in 1+a anywhere there is x. but after that i get confused. also can you tell me how to find the domain and range of a relation …
  3. algebra

    12-6x=3[2-4(x-6)] I KNOW THE ANSWER IS 11 BUT EVERYTIME I DO THE STEPS IT COMES OUT WRONG. COULD YOU SHOW ME DETAILED STEPS?
  4. Algebra 2 Urgent! please Help!

    simplfy (10x^2-6x-x^3)+(9x+x^3+5x^2) please show all work and steps i have been working on this problem for 10 minutes and still cant figure out how to do it.
  5. Algebra

    Help please-I'm doing something wrong- Solve 8x^2 + 6x + 5 = 0 I'm doing square roots and all the steps but it's not working out I come up with -0.38 + 0.5 and -0.38 - 0.5 But it's not right when I go to put it back in. Could you please …
  6. Math-trigonometry

    Several questions from my homework, any are appreciated. Thanks! Solve: 1) sinx-tanx=0 2) 3csc^2x=4 Find all solutions within (0,2pi) 3) cos4x(cosx-1)=0 4) cos4x-7cos2x=8 Use inverse functions where necessary to find solutions from …
  7. college algebra

    For the given functions f and g find the following and state the domain of each. f(x)=sqrt x; g(x)=7x-3 A.what is the domain of f*g?
  8. Math

    If f(x)-lnx,g(x)=e^8x, and h(x)=x^7, find the following: a. (f.g)(x). what is the domain of f.g?
  9. math

    K is the midpoint of JL JL=4x-2 and JK=7. find x, KL, and JL. Very confused , can you please show steps to working out the problem
  10. Math, Algebra (fast help would be nice)

    So I did this whole math test and before I could hit "finish", my computer died and nothing saved. I have no memory of how I figured them out. Could you guys help please?

More Similar Questions