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 the difference between the way animals are motile and the way that bacteria and protists are motile​
Which statement describes a difference between the lower mantle and oceanic crust?
I don't know how to solve any of these probability questions.
can u pls help with both​
help me pls its emergency​
Now you try, If we had a triangle where we had two lengths, say 7 and 8, what TWO lengths must our third side be between? (first # Group of answer choices 1 3 7
Carry out electrolysis of dilute CuSO4 using copper electrodes. State the products formed at the electrodes and nature of the electrolyte
At a $30,000 annual household income, Shirley’s 2021 income places her at less than 133% of the federal poverty level. What would be her expected contribution
helppp !!! Mrs. Massoth blended 1 3/4 gallons of iced tea and some lemonade for a picnic. If there were 4 1/2 gallons of the beverage, how many gallons of lemon
Do you have to soak dried black eyed peas before cooking?