l3ouieBisci
l3ouieBisci l3ouieBisci
  • 08-08-2016
  • Mathematics
contestada

Find all solutions to the equation sin2x + sin x = 0, sin2x = -sinx
hint: sin2x = 2sinxcosx

Respuesta :

HomertheGenius
HomertheGenius HomertheGenius
  • 12-08-2016
sin 2 x + sin x = 0,
2 sin x cos x + sin x = 0
sin x ( 2 cos x + 1 ) = 0
sin x = 0                 or :     2 cos x + 1 = 0
x 1 = k π                          2 cos x = - 1
k ∈ Z                                cos x = - 1/2
                                         x 2 = 2π/3 + 2 kπ,  x 3 = 4π/3 + 2 kπ,  k ∈ Z 

Answer Link

Otras preguntas

Roberto, Christopher, and Levi are amateur cyclist riding in the 165.1 km long Tour of Cortez bicycle race. Each cyclist is individually timed in the event. Two
RRS-1 If the quadrilateral below is a rectangle, find the missing measures. V W 19 Z Y 31 X
1. A diver jumps from a 13 m tower, with no initial velocity. a.What is the velocity when the diver impacts the water? Use the conservation of energy. b.What
where are most of the world's landlock states?
Where does the Volta occur in Shakespeare’s sonnet 30?
why is there a significant Russian population in many countries of Asia?​
PROBLEM #1: Find the lengths of PR and QS.
Look at the photo plz
Hello! Happy New Years! If someone could help me with this problem real quick, I would greatly appreciate it! Thanks in advance!
who was the first person to describe the earth as a magnet