how do you find the amplitude and period of f(t)=-tan 0.4 t

Question

amistre64 · Answer

memorization ... its basically memorization

amistre64 · Answer

the absolute value of the number multiplying your trig function is your amp

the argument itself helps define the period;  tan has a normal period at pi sooo

tan(.4 t) = tan(pi)  when:

.4 t = pi ,  for what value of t does this happen?

anonymous · Answer

you have to multiply t?

amistre64 · Answer

well, id divide by .4  but thats just me

anonymous · Answer

oh ok so divide t by 4

amistre64 · Answer

.4 t  =  pi
/.4      /.4


t = pi/.4

which of course needs to be simplified since we dont really like haveing a decimal on the bottom of a fraction ....

anonymous · Answer

and it would be 2? when you simplify

amistre64 · Answer

pi/.4 = 10pi/4 = 5pi/2

or simply 2.5 pi

anonymous · Answer

but whats the amplitude and period

amistre64 · Answer

i do believe ive already commented on that up above ...

amistre64 · Answer

from the information provided, what would you conclude is the amp and period?

anonymous · Answer

2.5?

amistre64 · Answer

2.5 pi , is what?

anonymous · Answer

the amp?

amistre64 · Answer

no .... which means its got to be the period by default.

tan has a normal period of pi, which means that

tan(.4 t) = tan(pi)

.4 t = pi when t = 2.5pi ... which gives us the adjusted period of the function

anonymous · Answer

thats not even an answer

amistre64 · Answer

it is an answer ... or do you mean thats not an option to choose

anonymous · Answer

thats not an option to chose

amistre64 · Answer

then which option does it equate with?  i cant see you options from where im at ...

amistre64 · Answer

also, did you type the question correctly?  is it .4 t  or 4t ?

anonymous · Answer

a says amp:1 period:5pi/2 
 b says amp:none ped:5pi/2
c says amp: 1 prd. 2pi
d says amp:none prd:2pi

amistre64 · Answer

and you really didnt read anything i posted did you ...

pi/.4 = 10pi/4 = 5pi/2

or simply 2.5 pi

isnt it an option?

anonymous · Answer

i did read what you said but it doesnt make sense

amistre64 · Answer

pi/.4 = 10pi/4 = 5pi/2

these are all equivalent values, its called simplification.

usually if they have a decimal point in the problem they want a decimal point in the solution so i just took it one step further.

amistre64 · Answer

but as the options point out;  5pi/2 is a reasonable 'answer'

amistre64 · Answer

the only ting to consider is the amplitude to determine which option they want