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

The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. the probability of a player weighing les
Help? I don't understand...
What is x? 3x+4y=70 and 8x-3y=9
This person is known as the "Conscience of the American Revolution" and her History of the Rise, Progress, and Termination of the American Revolution is conside
Is Microsoft Word a: A.operating system B.software C.hardware D.input device
How did industrialization enable Western powers to dominate world affairs?
¿Qué fecha es el miércoles si hoy es martes 29 de diciembre?
how to solve this kind of question?
How do you solve the equation y+3x=-21
Suppose a florist is creating a bouquet with 3 different types of flowers and 3 different types of greenery. If there are 7 types of flowers in the shop and 6 t