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

what is equivalent to 6(p+5)
how does a bed exert force on you
what is 67.23 to the nearest tenth
where did the cival war begin a Gettysburg b fort sumter c Appomattox d manassas
The Moche civilization was located to the south of which Andean civilization? A. Aztec B. Chavin C. Olmec D. Zapotec
100/360 what is the angle in degrees
Christina collects stamps. She has 47 stamps in all. She has 20 stamps from Europe. The number of African stamps is 2 times the number of Asian stamps. How
what is 65/8 as a mixed number
3+x>10 solve the answer to this problem
Mark the statement if it correctly describes Alexander 1