Question

OMG SOMEONE HELP ME FOREAL
The average daily air temperature (F) for Fairbanks, Alaska, from 1941 to 1970, can be modeled by the equation: t(x)= 37sin[2/365(x-100)] + 25 where x represents the first of January. On what dates do you expect the average temperature to be 32 F ? 32= 37sin [2pi/365(x-100)] +25

I don't know how To solve for x

Answer 1

:lol

Answer 2

OMG SOMEONE HELP ME FOREAL

Answer 3

lol ... i've bumped this like 4 times

Answer 4

I'll try and help see what i can do.

Answer 5

Gracias :)

Answer 6

start solving it like you would a regular algebra problem until you get the sine term by itself on one side of the equation, and a constant on the other
32= 37sin [2pi/365(x-100)] +25
if this is hurting your eyes, first rewrite it as
32=37u+25
where u=sin [2pi/365(x-100)]
and solve for u, then dell me what you get

Answer 7

tell*

Answer 8

Aghh okay give me a minute

Answer 9

well to be honest i don't know where to start. I really don't have the brains

Answer 10

if it were
32=37u+25
could you solve for u?

Answer 11

i put the u on the left side, and 32 on the right side?

Answer 12

to get u by itself? idk

Answer 13

or i subtract 25 from both sides?

Answer 14

yes

Answer 15

that is step 1

Answer 16

so 7= 37u ?

Answer 17

yes

Answer 18

than i divide?

Answer 19

yep

Answer 20

would it be 37u/7 ?

Answer 21

you want u by itself, so no

Answer 22

than how do i divide..

Answer 23

there are only two obvious choices: divide both sides by 7 or divide both sides by 37. only one gives u a coefficient of 1....

Answer 24

Okay yeah you divide, but i don't understand how you get u by itself if it's with 37? i really don't know

Answer 25

7/37 = u?

Answer 26

yes

Answer 27

and then what

Answer 28

now substitute back in u=sin [2pi/365(x-100)]

Answer 29

okay..

Answer 30

where does 7/37 go where x is?

Answer 31

no, you put sin [2pi/365(x-100)] were the u is
I really think trigonometry is going to be very difficult without more algebra skills.

Answer 32

yeah i don't know anything.

Answer 33

okay but idk what to do after that

Answer 34

take the inverse sine of both sides

Answer 35

i don't know what that means

Answer 36

then you have not been studying properly. You can't answer this question without knowledge of the sine function and it's inverse

Answer 37

i don't understand none of this.

Answer 38

\[\sin x=u\iff x=\sin^{-1}u\]

Answer 39

oh fk it. nvm later.

Answer 40

that is how an inverse sine works. I suggest you go back and reread the beginning of your book or whatever material you have. This question is impossible without those tools at your disposal.