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Mathematics 82 Online
OpenStudy (kittiwitti1):

Some stupid trig questions, sorry. Pardon me if I didn't notice the obvious answers to this xD I'm really tired! 1. Which trigonometric functions have a defined amplitude? 2. Which trigonometric functions have asymptotes? 3. Which trigonometric functions have a period of 2π?

Directrix (directrix):

Everything you need for these questions is here: The properties of the 6 trigonometric functions: sin (x), cos (x), tan(x), cot (x), sec (x) and csc (x) are discussed. These include the graph, domain, range, asymptotes (if any), symmetry, x and y intercepts and maximum and minimum points. http://www.analyzemath.com/trigonometry/properties.html

OpenStudy (kittiwitti1):

Alright thanks! @Directrix :)

Directrix (directrix):

To help you get started: 1. Which trigonometric functions have a defined amplitude? Sine and Cosine

Directrix (directrix):

Look at the link and see which ones have asymptotes. Look at the graphs.

OpenStudy (kittiwitti1):

Okay

OpenStudy (kittiwitti1):

Oh wait you answered that lol My bad! ^^;

Directrix (directrix):

If you are on #2, then.. No. They are the only two that do NOT have asymptotes.

OpenStudy (kittiwitti1):

wow this glitch deleted my responses "Sine and cosine?" referring to #1

OpenStudy (kittiwitti1):

Sorry. I will look at the page regarding #2 now

Directrix (directrix):

#1 is correct

OpenStudy (kittiwitti1):

#2: Everything BUT sine and cosine? Haha

Directrix (directrix):

Cosecant, Secant, Tangent, and Cotangent graphs have asymptotes.

OpenStudy (kittiwitti1):

Yes. :)

Directrix (directrix):

What about number 3?

OpenStudy (kittiwitti1):

Hmm, I'd say sine, cosine and tangent?

Directrix (directrix):

You are guessing. Sine, Cosine, and two more. The "two more" are the reciprocals of the sine and the cosine (if that helps.)

OpenStudy (kittiwitti1):

Oh, right ^^; Eh... cosecant, secant.

OpenStudy (kittiwitti1):

... Not sure how though.

Directrix (directrix):

Correct. Sine, Cosine, Cosecant, Secant.

OpenStudy (kittiwitti1):

I am confused... how? D:

Directrix (directrix):

Confused about what

OpenStudy (kittiwitti1):

sin + cos, yes I see, not sec and csc

Directrix (directrix):

3. Which trigonometric functions have a period of 2π? There are 4 answers to this question.

Directrix (directrix):

>>Sine, Cosine, Cosecant, Secant.

OpenStudy (kittiwitti1):

Yes, but I do not see how Cosecant and Secant are within the boundaries of that categorization o_o

Directrix (directrix):

>>sin + cos, yes I see, not sec and csc Don't use + for the word and. It will cause problems.

Directrix (directrix):

How did you see Sine and Cosine within the boundaries?

OpenStudy (kittiwitti1):

Eh....

OpenStudy (kittiwitti1):

http://prntscr.com/8v140k

Directrix (directrix):

You look for one cycle of the graph and then look across the x axis to get the period. It will not always start with 0 and end in 2 pi. But, the difference between start and stop of one cycle will be 2 pi.

OpenStudy (kittiwitti1):

Oh, okay

Directrix (directrix):

Study the info at the link.

OpenStudy (kittiwitti1):

Alright.

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