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

How to solve the function 4y+x=12
Question 16 (5 points) Solve y + 2/7<1/3​
PLZ HELP! what is [tex]3^\frac{2}{8} * x^9^(^3^+^2^) - (3^2+5^\frac{4}{3} )[/tex]?
your high school diploma adds to which factor of production?
A food truck used 6 cartons of boxes for the dinners they sold yesterday. There are 24 boxes in a carton. Each dinner uses one box and costs $11. How many boxes
Find the area of the shaded region
geometry please help asap, much appreciated !!!
Draw the structures of the major 1,2 and 1,4-products formed by reaction of 1 mole of Br2 with 3-methyl-2,4-hexadiene. Assume that the bridged bromonium ion int
please help due in 5 minutes
If a woman tests positive for HPV, she may be increased risk for this form of cancer