Question

if (tanΘ-1)^2=4 what is the radian measure of Θ

Answer 1

uh

well I suppose you'd start by taking the square root of both sides

tan(x-1) = +/- 2

Answer 2

idk if this is the best way to do this but you could take the arctan of both sides to get

x - 1 = arctan(-2)
x - 1 = arctan(2)

Answer 3

what is arctan wth

Answer 4

arctan is just the inverse of tan

so taking the arctan of something will "undo" the tan

arctan(tan(x)) = x

Answer 5

oh, we can use graphing calculators do u think there is a way to input and solve using a calculator?

Answer 6

yeah you could just graph

(tanx-1)^2
and
4
on separate graphs and see if they intersect

Answer 7

just be careful with parentheses

Answer 8

let me check real quick

Answer 9

the back of the book just says to plug in and check??

Answer 10

like plug the multiple choice values into the equation

Answer 11

oh

well yeah you could do that

(tanΘ-1)^2=4, just plug in each choice for Θ and see which one gives you 4

Answer 12

i have the TI-84 plus and when i plug it in it doesn't give me 4? even tho the answer key says its right

Answer 13

and like are there an

Answer 14

are there any programs i should have on the calculator that would make things easier

Answer 15

is your calculator in degree mode

Answer 16

i have the quadform program rn

Answer 17

its in radians

Answer 18

hm.

Answer 19

what does it say the solution is?

Answer 20

21.13

Answer 21

it must be something with my parentheses but idk how to fix it because when i press tan it automatically gives the ( after it

Answer 22

i can try to ask someone cause my brain is really fried rn

Answer 23

i'm not getting the solution either

Answer 24

@angle I really hate to do this but would you mind taking a look at this?

Answer 25

you can simplify it to where tanΘ must equal 3

Answer 26

so for what value of theta is tanΘ equal to 3

Answer 27

if tanΘ = 3 then Θ = arctan(3) but that's still not the right solution ''_''

Answer 28

thats what i was thinking, i tried to type Tan^-1(3)

Answer 29

when it comes down to it, plugging the multiple choice into the calculator would be the quickest option

Answer 30

ya, thats what ill do on the test, is there a specific way i should type it into the calculator?

Answer 31

suppose one of the multiple choice is theta = 21.13

put in tan(21.13) into the calc
retype that output and -1
retype the new output and square it
and hopefully it is close to 4

Answer 32

as is how you might input that into a bad calculator

Answer 33

maybe with a good calculator you can plug in
(tan(21.13) - 1)^2 all at once

Answer 34

why 21.13?

Answer 35

I was just giving an example, like suppose 21.13 was a multiple choice option
that would be how you might plug it into a calculator

Answer 36

i got 3.99

Answer 37

if cscΘ = 1/3t, then where undefined, cosΘ=

Answer 38

hi bro