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

this is for medical detectives
A barbar wants to set up a salon in a room measuring length of 3m by 3m .He has a simple wooden chair,3 large mirrors and one bulb . a) using the knowledge of s
pls pls help whoever gets it right gets a crown
DONT delete my question or else!!! AM i a awful person??
I don't get what they mean by writing an opinion Can I get some help?
y = -x + 3 2y + 2x = 4
To apply for a job at the new store in the mole. is this a fragmentation sentence ​
what is 50+60 i need help
4000+48 yygttccrcrccr
A bag contains the following marbles: 8 black marbles, 12 blue marbles, 18 brown marbles, and 6 green marbles. What is the ratio of brown marbles to blue marble