solve for x

6tanx - 4sinx = 1

i tried it but got a quartic formula :S

16sin^4x + 8sin^3x + 37sin^2x - 36 = 0

2 answers

This is a "nasty" problem and it does not simplify easily.
I don't know how you got your quartic equation.

I rewrote it as 6tanx = 1 + 4sinx
then graphed f(x) = 6tanx and
g(x) = 1+ 4sinx

There are two intersection points, one in quadrant I and another in quadrant III.

After a few iterations, I got x= 23.27ยบ to come pretty close.

This is way beyond any highschool level I know, where did you get that question ?
I got the quartic by moving the sin to the right, squaring both sides, then multiplying everything by sin^2 and then changing the cos to sin.

My friend gave me this question, and he got it from his virtual school for gr 12 advanced functions lol.
Similar Questions
    1. answers icon 1 answer
  1. If f(x)=4sinx/1+cosxthen f'(x)=_____? I think that the derivative of 4sinx would be 4cos and cosx would be sinx but I don't know
    1. answers icon 2 answers
  2. 3cosx+4sinx=5what is x is too difficulat form me to solve? Shw working please
    1. answers icon 6 answers
  3. sec^2x+6tanx=-4Solve for x, find all solutions (general solutions) show your work Thank you so much if you decide to help!
    1. answers icon 1 answer
more similar questions