Question

2 tan^2x-tan^4x=3

Answer 1

expand to sines and cosines

Answer 2

yes

Answer 3

I dont think theres any need to make it into sines and cosines.

Answer 4

maybe, let's try it.

Answer 5

move all the terms onto the left side, then define a variable to equal tan^2 x

Answer 6

say tan^2x=t

2t-t^2=3 solve it

Answer 7

problem: it doesn't solve. see for yourself: https://www.desmos.com/calculator/ccu6rt0dy5

Answer 8

sorry sorry,the question is solve Trigonometric Equations for 0<x<360..

Answer 9

so what cinar and I were doing was trying to simplify it by defining a variable, then bringing the tan^2 back in later. As we saw, it doesn't work. So we have to find another way if there is indeed a solution.

Answer 10

I just graphed the complete equation, and it doesn't appear to have a solution at all. See: https://www.desmos.com/calculator/0erki0htk8

Answer 11

roots are complex :\

Answer 12

you may have mistyped the equation, or the problem may be designed to have no solution, or the roots may be complex. What math class are you in?

Answer 13

hihi,let i see..

Answer 14

oh my god!

Answer 15

2 sec^2x-tan^4x=3

Answer 16

that changes things

Answer 17

expand to sines and cosines :)

Answer 18

i trying many times but also cannot find the ans

Answer 19

\[1+\tan ^{2}\theta=\sec ^{2}\ \theta\]