Which of the following statements about the function f(x)=sec(x) are true? Select all that apply.
a. f(x) has no zeroes.
b. f(x) has a period of 2pi.*****
c. f(x) has an amplitude of 1.
d. f(x) is symmetric about the origin.
e. f(x) has asymptotes at integer multiples of pi.

I know it has a period of 2pi and I know that it has no amplitude. Other than that I do not know as there are two answers and I only know one. Any help is greatly appreciated. Thank you!!!

  1. 👍
  2. 👎
  3. 👁
  1. sec x = 1/cos x
    cos is between -1 and +1
    when x = pi/2 or 3pi/2 the denominator is zero, boom
    so it has no zeros
    cos is symmetric about origin, so this is as well

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Which statements are always true about regular polygons? Select all that apply. All sides are congruent •• Pairs of sides are parallel All angles are congruent •• All angles measure 90 degree Correct me if I'm wrong!!

  2. History

    Which of the following statements about American citizenship are true? Select that apply (3points) A:To become a naturalized citizen, a court order must be issued. B:Natural-born citizens can be determined by location or

  3. math;)

    Julia wants to simplify the term sec^2 theta-1/cot^2 theta+1 in a trigonometric identity that she is proving. Which of the following identities should use to help her? Select all that apply. (2 ANSWERS) a. sin^2 theta+cos^2

  4. p.e/ drugs

    1. The first step in getting help for drug abuse is (1 point) A: detoxification. B: withdrawal. C: joining a therapeutic community. D: recognizing the problem 2. A place where former drug abusers live together and learn to be

  1. algebra

    Which statements are true of functions? Check all that apply. All functions have a dependent variable. All functions have an independent variable. The range of a function includes its domain. A vertical line is an example of a

  2. biology

    Which statements accurately describe the electron transport chain? Select all that apply. a: It produces carbon dioxide. b: It produces oxygen. c: It produces water and a high amount of ATP. d: It uses electrons released from NADH

  3. Calculus (Urgent Help)

    Okay, I need major help! Can someone tell me if these statements are true or false ASAP please. Thank you. 1. If ƒ′(x) < 0 when x < c then ƒ(x) is decreasing when x < c. True 2. The function ƒ(x) = x^3 – 3x + 2 is

  4. Chemistry

    Select the true statements regarding the resonance structures of formate. HCO2 Check all that apply: Each oxygen atom has a double bond 50% of the time. The actual structure of formate is an average of the two resonance forms.

  1. Physics helppp

    Which of the following statements are TRUE? Select all that apply. An isolated system is one in which objects inside the system are not influenced by any forces from outside the system. The mechanical energy of a pendulum bob is

  2. Trigonometry

    The function in the graph has the general equation f(x)=asin(bx+c)+d. Which of the following values are correct? Select all that apply d=-3 C=-1 B=0.5 B=0.5 D=1 A=2 B=2

  3. Calculus

    Which one or ones of the following statements is/are true? I. If the line y=2 is a horizontal asymptote of y= f(x), then is not defined at y=2. II. If f(5)>0 and f(6)

  4. physics

    Which of the following statements about electric field lines due to static charges are true? (Select all that apply.) Electric field lines can never cross each other. Static charges can create closed loop electric field lines that

You can view more similar questions or ask a new question.