khouse3711owuqoa khouse3711owuqoa
  • 02-05-2022
  • Mathematics
contestada

What are all the solutions to the equation sin 2x = 2sin x in the interval [0, 2π)?
{π}
{0, π}
{pi over 2}
{pi over 2, 3 times pi over 2}

Respuesta :

subtomex0
subtomex0 subtomex0
  • 02-05-2022

[tex]sin(2x) = 2sin(x) \\ 2sin(x)cos(x) = 2sin(x) \\ sin(x)cos(x) = sin(x) \\ sin(x)cos(x) - sin(x) = 0 \\ \sin(x) (cosx - 1) = 0 \\ \sin(x) = 0 \\ x = \pi \: or \: x = 0 \\ cos(x) = 1 \\ x = 0 \: or \: x = \pi \\ \\ s[/tex]

[tex]s = > {0 < = > \pi}[/tex]

Answer Link

Otras preguntas

A frog follows this rule: "If the frog is on a red lily pad, it jumps on a random color pad. If the frog is on a blue or green pad, it jumps to a red pad" Is it
Describe the principle of overload and explain how frequency intensity time and type can help you safely apply overload to your favorite activity
find the length of arc AC express in terms of pi
victor bought 15.6 pounds of paintball all together the balls cost $35.99 about how much did the paintball cost per pound
Which of the following is a precaution you should take when working with power tools?
What parts of clam are likely to be preserved?
What might happen if I drift near the equator?
jonathan is hybrid for blue eyes. His wife Carly, has blue eyes. If they have four children, how many will have blue eyes?
Amy is using a drawing program to complete a construction with which she is almost finished. Which construction is she completing? Two intersecting circles are
Which of the following is a precaution you should take when working with power tools?