Question

Solve tan^(4)+2tan^(2)-3=0 for 0°≤θ<360°

Answer 1

is it \[\tan 4 ??\]

Answer 2

or \[\tan ^{4}x\]?

Answer 3

latter one

Answer 4

ok,take \[\tan^4x=y^2\]

Answer 5

yeah

Answer 6

y^(2)+2y-3=0

Answer 7

wait a minute, i lost my calculator...

Answer 8

then \[\tan^2x=y\] and the equation is \[y^2+2y-3=0\]

Answer 9

y=1/-3

Answer 10

tanx=1 x=45
tanx=-3 x=.....

Answer 11

yep,so x=\[\tan^-1 (-3)\] use calculator.

Answer 12

i lost my calculator..

Answer 13

-71.565 Degrees
-1.249 Radians

Answer 14

:) it is -71.565 Degrees ,but \[\Theta>0\] so it will be 180 degrees-71.565 Degrees

Answer 15

180-(-72.565)=252.656?

Answer 16

also (360-71.565 )Degrees

Answer 17

no,180+(-72.565) degree

Answer 18

these are the choices::

A. 45, 135 only
B. 45, 225 only
C. 45, 60, 225, 240
D. 45,120,225,300
E. 45,135,225,315

Answer 19

i think there is some problems with the answers.. cause , when \[\tan \alpha=\tan \beta \]
\[\alpha=n \pi+\]

Answer 20

beta

Answer 21

hey, tan x is not -3
tan^2 x = -3

Answer 22

so, discard that
tan^2 x = 1
tan x = 1 , tan x = -1

Answer 23

ohh,yeah yeah @hartnn is correct

Answer 24

ohh, yes....

Answer 25

45 and 180-(-45)=225

Answer 26

you know why tan^2 x = -3 is discarded ??

Answer 27

cause it will be imaginary

Answer 28

ohh, imaginary number?

Answer 29

yes,
\(\tan x = \sqrt{-3}= i\sqrt{3}\)
so no real solution

Answer 30

okay...

Answer 31

so what all angles you got finally ?

Answer 32

45,225

Answer 33

thats only for tan x = 1
what about tan x = -1 ?

Answer 34

or, did you get why we need to also solve tan x = -1 ?

Answer 35

135

Answer 36

i know

Answer 37

315

Answer 38

135 and ?

Answer 39

45,135,225,315 ?

Answer 40

\(\huge \checkmark \)

Answer 41

thanks

Answer 42

welcome ^_^

Answer 43

and i want to ask how to many how many roots are theere in a function

Answer 44

i mean....like this:
For 0°≤θ≤360°, how many roots does the equation sinx(cosx+2)=0 have?

Answer 45

ok,
sinx(cosx+2)=0
sin x = 0 (how many values of x in 0 to 360 ??)
cos x +2 =0
cos x = -2 (how many values of x in 0 to 360 ??)

Answer 46

3 for sinx=0

Answer 47

are 0 and 360 considered different ?

Answer 48

?

Answer 49

0, 180, 360

Answer 50

i want to ask how can i press sin-1 in this website ? http://web2.0calc.com/

Answer 51

i mean 0 and 360 are same angle,