Question

Solve for both exact form and decimal form (rounded to 3 decimal places!)

1=12tan(3x+5)-5

so would it be add 5 to both sides?
6=12tan(3x+5)

divide by 12 ?

1/2=tan(3x+5)

?? is that right so far? :) thanks!!

Answer 1

yes.
it's the same problem with slightly different numbers.

Answer 2

Keep going.

Answer 3

okay, so you let t=tan(3x+5) ? is that it? :/ this is where i'm confused again :(

Answer 4

Do it like last time. Inverse tan of 1/2

Answer 5

okay:)

umm tan^-1(1/2) -5+k*pi/3 ?

Answer 6

if you put parens in to show all of it is divided by 3

Answer 7

oh
so (tan^-1(1/2) -5+k*pi)/3 ?

Answer 8

and that would be the exact form? :)

Answer 9

yes. Once you use a calculator to evaluate the inverse tan, you end up with a decimal number that (though it has lots of digits) is still rounded... hence it will be inexact once you change to decimals

Answer 10

(tan^-1(1/2) -5+k*pi)/3 = -1.512 ?

so ^^=exact form and ^^=decimal form? :)

Answer 11

(tan^-1(1/2) -5+k*pi)/3

and

(tan^-1(1/2) -5)/3 + kpi/3
^do that part in brackets on a calc, for decimal form.

Answer 12

so -1.512 + kpi/3 ?

or is it (-4.536 + kip)/3 ?

Answer 13

they are the same thing... but you computer may just be expecting -1.512 (ask you teacher)

Answer 14

okay :) i will :) awesome!! yay thank you both!!! :)

Answer 15

okay :) i will :) awesome!! yay thank you both!!! :)