Question

HELP !!
Period of y=-20cos(5/3t)+100 ??

Answer 1

@genius12

Answer 2

In radians or degrees?

Answer 3

do u know the period of cos x?

Answer 4

degree

@KeithAfasCalcLover

Answer 5

I get 216 degrees

Answer 6

Ill show how

Answer 7

Find equation of Sine function with amplitude +5 and period is 240

Answer 8

@KeithAfasCalcLover

Answer 9

Normally, for a formula of the form \[a*cos\big[k(x-d)\big]+c\] has a period of \[\frac{360^\circ}{k}\]

So this one has a k value of 5/3 and therefore the period is:

\[\frac{360^\circ}{1}/\frac{5}{3}=\frac{360}{1}*\frac{3}{5}=\frac{1080}{5}=\frac{216}{1}=216\]

Answer 10

ok thanks can you help with the second one
?

Answer 11

Haha sure.

Sin is similar.

Amplitude is the "a" value for the general formula I wrote above. That being said, we also know that the period wich is 360/k needs to be 240 so lets find the k value:

Answer 12

Ill represent period by the symbol \(\lambda\).
\[\lambda=\frac{360}{k} \rightarrow 240=\frac{360}{k} \rightarrow 240k=360 \rightarrow k=\frac{360}{240}=1.5\]

Answer 13

Therefore the equation is: \(y=5cos[1.5(x-d)]+c\) where \(c\) and \(d\) are whatever you want them to be! Any number for them will still be correct.

Answer 14

is has to be y=5sin not cos

Answer 15

@KeithAfasCalcLover ^^

Answer 16

Oh hahaha yes correct. Sorry

Answer 17

@KeithAfasCalcLover help with this one

Answer 18

@genius12 help

Answer 19

OHH this is fun.

Answer 20

OK. Give me a sec.

Answer 21

@cupcakezz i told u for new questions make a new thread. don't post all of them on a single page..

Answer 22

Ah good point haha post it on a new page, tag me and then ill answer