mandyb2003
mandyb2003 mandyb2003
  • 11-05-2021
  • Mathematics
contestada

#37. What is the next step when solving the equation sin (2x) - sin (x) = 0​

Respuesta :

LammettHash
LammettHash LammettHash
  • 12-05-2021

sin(2x) - sin(x) = 0

Expand the first term using the double angle identity:

2 sin(x) cos(x) - sin(x) = 0

Factor out sin(x) :

sin(x) (2 cos(x) - 1) = 0

This leaves you with 2 cases that can be solved separately:

sin(x) = 0   or   2 cos(x) - 1 = 0

sin(x) = 0   or   cos(x) = 1/2

[x = 2nπ   or   x = π + 2nπ]   or   [x = π/6 + 2nπ   or   x = 5π/6 + 2nπ]

(where n is any integer)

Answer Link

Otras preguntas

Suppose that a species of fish has split into two populations in a lake: one on the eastern side and one on the western side. How could you determine whether th
the beat in poetry is called
Federico has two samples of pure water—sample X and sample Y. Sample X has a volume of 1 L, and sample Y has a volume of 10 L. How do the boiling points of thes
What is true about payment for jury duty? a. The payment you receive is not very much b. You will want to check your employer's policies before attending jury
An irrational number is _____________. √23 approximately equals (to the nearest tenth) _____________. a.) Which is more? _______ b.) Which is more? _______
How much is the tension number 2
14 a and b please !!!
pls help on this one
If a researcher publicly discussed a participants responses and named the participant that researcher will be guilty of violating the ethical principle of
Which expression is equal to the number of grams (g) in 2.43 kilograms (kg)?