Question

URGENT PLEASE HELP:
Approximate, to the nearest 0.01 radian, all angles θ in the interval [0, 2π) that satisfy the equation. (Enter your answers as a comma-separated list.)
(a)
sin θ = −0.0134
θ =
(b)
cos θ = 0.9238
θ =
(c)
tan θ = 0.46
θ =
(d)
cot θ = −2.771
θ =
(e)
sec θ = −3.5
θ =
(f)
csc θ = 1.22
θ =

Answer 1

you will need to use a calculator

Answer 2

Okay, I have one with me

Answer 3

sin t = -.0134

t = sin^-1 ( -.0134)

Answer 4

and you will have two solutions in [0, 2pi )

Answer 5

Wait im confused

Answer 6

my calculator does sin(

Answer 7

so would i do sin(-0.0134)^-1

Answer 8

what kind of calculator

Answer 9

ti83

Answer 10

on my calculator there is a special button for inverse sine, it is 2nd sin

Answer 11

oh i have that!

Answer 12

so the calculator should say
sin^-1 ( -.0134) , and make sure you are radian mode

Answer 13

it gave me the same number...

Answer 14

yes that is correct

Answer 15

in fact, for x very close to zero, sin ( x) ~ x

Answer 16

so that got me nowhere :(

Answer 17

sin (.0001) = .000100

Answer 18

so we have one solution, we need to find the other one

Answer 19

also we have to make this angle positive, by adding 2pi

Answer 20

we can do that later

Answer 21

how is that right, it has to be between 0 and 2pi

Answer 22

a negative angle (clockwise angle) is equivalent to a positive angle (counterclockwise) if you add 1 revolution

Answer 23

so what would that solutions look like

Answer 24

let me see if i can draw this

Answer 25

okay thank you so much by the way

Answer 26

here is an easier example to see

Answer 27

so there could be a negative answer?

Answer 28

we can make it positive by adding 2pi

Answer 29

adding 2pi is equivalent to going around in a circle, counterclockwise