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

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Question 1208915: Solve for x.

3sec x + 5tan x = sin x
Answer by mccravyedwin(409) About Me  (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 2pi%2An to each for the general solution

x=3.679146%2B2pi%2An and 5.507816%2B2pi%2An

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

Edwin