Use a graphing calculator to find the approximate solutions of the equation 2cosx-sinx=0 in the interval [0, 2pi).

Answer 1

Did you graph this? Go to desmos.com and type the equation in. then check for the x-intercepts. These are the solutions, where 2cos x - sin x = 0. I did it and got this graph: https://www.desmos.com/calculator/7vtjiwlzxa

The two x-intercepts that I see between 0 and 2π are at about x=1.107, 4.249.

I hope that helps!

Have fun mathing!

LizZ

Answer 2

2cosx - sinx = 0 ⇔ 2cosx=sinx ⇔ sinx/cosx=2 ⇔ tgx=2 ⇔ x=63^o and x=243^o

^{Use the calculater to fing the x angle .}

x=tg(2)-1