Question

Using a trigonometric table or a calculator, find the angle whose tangent is 2.36.

13º

57º

23º

67º
@tkhunny

Answer 1

\[\begin{align}\tan(\theta)&=2.36\\
\theta&=\arctan(2.36)\end{align}\]

Answer 2

so how do i solve for the answer?

Answer 3

well i dont have a table of arctangents , so i would just type into my calculator

[atan] [2.36] [=]

(make sure your calculator is in degrees mode [nor radians mode])

Answer 4

my caculator doesnt do anything

Answer 5

no batteries?

Answer 6

when i put = it just says 2.36

Answer 7

go to
http://web2.0calc.com/


set it to degrees

click on [2nd],
then [atan]

then 2.36

close the parentheses

and click [=]

Answer 8

can you do that @Leahlauren ?

Answer 9

it doesnt work

Answer 10

What do you mean ?

Answer 11

i put in exactly what you said and it doesnt do anything

Answer 12

did you click [=] at the end/?

Answer 13

yes

Answer 14

i dont know where you went wrong, it works for me

Answer 15

what is it giving you? cause mine clearly isnt functioning properly

Answer 16

when i follow the above steps, the calculator gives one of the above options

Answer 17

Can you show me?

Answer 18

how yours comes out, my caculator is being weird

Answer 19

.... then click [=]

Answer 20

i did that but its not working

Answer 21

1.17

Answer 22

can you show me a screenshot?

Answer 23

i cant

Answer 24

is it 1.17?

Answer 25

@IMStuck

Answer 26

you can't use your calculator, huh? Well, if it worked you would use the inverse tangent function. Hit 2nd then tan and then type in 2.36. It should give you 67 degrees. Either get a new calculator or get batteries for the one you have cuz you WILL need it.

Answer 27

what is the 2nd?

Answer 28

if you'r getting 1.1700, it's because you are in radians mode, set it to degrees mode

Answer 29

is says its in degrees

Answer 30

try it again

Answer 31

what is the 2nd??

Answer 32

the [2nd] button changes the trig function to arc trig function

Answer 33

i dont have that option

Answer 34

top left

Answer 35

On your calculator you have a 2nd key. That gets you to other functions on your calculator. LIke finding the inverse tangent which is the 2nd function of your tangent key.

Answer 36

You need a better calculator if you don't have a 2nd key. At least a TI 83 or 83+

Answer 37

i dont have another

Answer 38

on my hand-held calculator there is a [shift] button , that does the same thing as [2nd]

Answer 39

i dont have shift

Answer 40

I guess @UnkleRhaukus is telling you you can find what you need online. I don't know; I have never used anything but a calculator in my hand. I literally wear the batteries out on mine like every other week. Get a good one; do yourself a favor.

Answer 41

but what do i do now? i need to figure out the problem

Answer 42

i googled what you told me to type in and it gave me 1.17

Answer 43

that is in radians

Answer 44

you want it in degrees, wolfram gives both
http://www.wolframalpha.com/input/?i=atan+2.36

Answer 45

sin(0º) = 0.000 cos(0º) = 1.000 tan(0º) = 0.000
sin(30º) = 0.500 cos(30º) = 0.866 tan(30º) = 0.577
sin(45º) = 0.707 cos(45º) = 0.707 tan(45º) = 1.000
sin(60º) = 0.866 cos(60º) = 0.500 tan(60º) = 1.732
sin(90º) = 1.000 cos(90º) = 0.000 tan(90º) = kaboom

Where does 2.36 fit in there? Hopefully, you see that it is somewhere between 60º and 90º. This eliminates all but the last choice.