Question

tanx=-1.2203
directions: solve the equation on the interval [0,2pie)

Answer 1

y=tan(x) has inverse function if we restrict the domain to -pi/2 to pi/2
tan(x)=-1.2203
x=arctan(-1.2203)
means we will get an x in between -pi/2 and 0
Use the fact that tan(x) is an an odd function
Then you will probably also need to use the fact that tan(x) has period pi

Answer 2

i just need to know the answer to clarify

Answer 3

for example
tan(x)=-1
tan(x-pi)=-1
x-pi=arctan(-1)
x-pi=-pi/4
x=-pi/4+pi=3pi/4 <--use the fact that tan has period pi
You know what we will use that fact again
tan(x-2pi)=-1
x-2pi=arctan(-1)
x-2pi=-pi/4
x=-pi/4+2pi=7pi/4

Answer 4

tan(x-pi*n)=-1.2203 *

Answer 5

so same thing here:
where you will have one solution for n=1
and the other solution for n=2

Answer 6

so what are the final solutions @myininaya

Answer 7

you will get them from solving the two equations I mentioned

Answer 8

solve tan(x-pi*n)=-1.2203
for n=1
solve tan(x-pi*n)=-1.2203
for n=2

Answer 9

i did but can you give me the solutions so i can see
the answers as a solve

Answer 10

ok what did you if you solve them?

Answer 11

what?

Answer 12

what did you get when you solved them

Answer 13

i dont know i dont get it

Answer 14

take arctan of both sides

Answer 15

just as shown above with that one example

Answer 16

please give me the solutions i have so much homework left and its 2 in the morning

Answer 17

I gave you the set up
tan(x-pi*n)=-1.2203
take arctan of both sides...
x-pi*n=arctan(-1.2203)
now solve for x

Answer 18

and evaluate the equation for n=1 and then n=2

Answer 19

i dont know how

Answer 20

that can't be the reason you don't want to do this
all I'm asking you to do is add pi*n on both sides
and substitute n for 1
then make another equation and substitute n for 2

Answer 21

i dont know....

Answer 22

@myininaya please give me the answer