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Mathematics 20 Online
OpenStudy (anonymous):

PLEASE CAN SOMEONE HELP ME WITH 2 TRIG QUESTIONS THAT I HAVE BEEN STUCK ON FOR ABOUT 2 DAYS AND NOBODY SEEMS TO HELP ME!

OpenStudy (anonymous):

OpenStudy (anonymous):

work backwards, determine your amp, period , phase shift, vertical/ horizontal shift

OpenStudy (anonymous):

can someone just show me how to solve the first one so that I can do the second one

OpenStudy (anonymous):

hey isn't that from con nexus

OpenStudy (anonymous):

what

OpenStudy (anonymous):

connections academy

OpenStudy (anonymous):

no its from my trig class in Texas

OpenStudy (anonymous):

._. hmm bai

OpenStudy (anonymous):

can u help me or not?

OpenStudy (anonymous):

if that problem is really from where you say it is, can you give me a link so I cam find a solution

OpenStudy (anonymous):

@Nnesha you helped me before on these problems, can u help me one last time

OpenStudy (anonymous):

oh im not looking to graph, im just trying to find a function out of a graph

OpenStudy (anonymous):

@jim_thompson5910

OpenStudy (anonymous):

Please help @Vocaloid

jimthompson5910 (jim_thompson5910):

#3 has an asymptote, and its range is the set of all real numbers, so the function is either tan or cot

OpenStudy (anonymous):

ok

jimthompson5910 (jim_thompson5910):

let's assume it's tan(x) what is the value of tan(x) when x = pi/4

OpenStudy (anonymous):

its 1

jimthompson5910 (jim_thompson5910):

so IF the point (pi/4, 1) was on the graph, then tan(x) might be the answer. But it's not

jimthompson5910 (jim_thompson5910):

something like 4*tan(x) would work but if we plugged in x = pi/2, then we'd get undefined. The function f(x) = tan(x) is undefined when x = pi/2. So it turns out that tan doesn't even work at all

jimthompson5910 (jim_thompson5910):

is this making sense?

OpenStudy (anonymous):

i see, so it has to be cotangent

jimthompson5910 (jim_thompson5910):

what is the value of cot(x) when x = pi/4 ?

OpenStudy (anonymous):

the answer is 1, but if I put a 4 behind cotangent: 4cot(pi/4) then it is 4

jimthompson5910 (jim_thompson5910):

good

OpenStudy (anonymous):

and it works with the rest as well

jimthompson5910 (jim_thompson5910):

so it appears that 4*cot(x) works. Check the other x coordinates to see if it holds up for the other two points

jimthompson5910 (jim_thompson5910):

yes 4*cot(x) = 0 when x = pi/2 and 4*cot(x) = -4 when x = 3pi/4

OpenStudy (anonymous):

ok so is thar it then, the function for this graphy is just y=4cot(x)

OpenStudy (anonymous):

that is it then*

jimthompson5910 (jim_thompson5910):

correct

OpenStudy (anonymous):

is that how you properly write it down:\[y=4\cot (x)\]

jimthompson5910 (jim_thompson5910):

yes

jimthompson5910 (jim_thompson5910):

or f(x) = 4*cot(x)

OpenStudy (anonymous):

how about the second one, that is the really confusing one

jimthompson5910 (jim_thompson5910):

what's the vertical distance from the very peak of one mountain to the very bottom of the valley? |dw:1438045445818:dw|

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