Question

How do I solve this equation? 4cos(x)=3

Answer 1

Given:

`4\cos x=3`

Solve the equation,

`\begin{gathered} 4\cos x=3 \\ \cos x=(3)/(4) \\ x=\cos ^(-1)((3)/(4)) \\ x=\cos ^(-1)((3)/(4))+2\pi n,\: x=2\pi-\cos ^(-1)((3)/(4))+2\pi n \\ x=0.7227+2\pi n,x=2\pi-0.7227+2\pi n \end{gathered}`

Answer:

`x=0.7227+2\pi n,x=2\pi-0.7227+2\pi n`