SOLUTION: 4sinx-2cscx=0

Algebra.Com
Question 546250: 4sinx-2cscx=0
Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!


so the equation really is

To save some writing, let's change variables for a little while. Let's call it ,
The equation can be written as

Multiplying times y
<-->
The solutions would be and
You must know that between 0 and , there are 4 angles that give those values for sin(x):

and
To cover all infinity of solutions with k=any integer.

RELATED QUESTIONS

trigonometric equations: Solve: 1)sin^2x-4sinx+2=0 2)2sin^2x-cos2x=0 (answered by dkppathak)
Solve, for degree between zero and 360, the equation... (answered by Edwin McCravy)
range of 4sinx +... (answered by Alan3354)
QUICK! Could someone help me with this question. Solve for the roots of... (answered by joyofmath)
Solve each equation graphically. Show all graphs. A. 4sinx-cosx+2=0... (answered by Alan3354)
How would I find all the solutions if I have only been given the equation sinx=1/(4sinx) (answered by jim_thompson5910)
If 3cosx-4sinx=5,then... (answered by ikleyn)
solutions for the interval 0,2 pi... (answered by lwsshak3)
Question 1. 2cosx^4 -3cosx^2 +1=0 Question 2. 4sinx^4 +3sinx^2 -1=0 Question 3.... (answered by Alan3354)