SOLUTION: Solve for x. 3sec x + 5tan x = sin x

Question 1208915: Solve for x.

3sec x + 5tan x = sin x
Answer by mccravyedwin(409) (Show Source): You can put this solution on YOUR website!


There is no good way to solve this.  It involves
solving a 4th degree (quartic) equation. 

I'll use a TI-84 calculator, use the graphing feature 
to get the decimal approximations for the least two 
positive solutions:

3.679146, 5.507816

and add  to each for the general solution

 and 

One of the other tutors may find a way to avoid a
4th degree equation, but I doubt it. 

Edwin

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