L9aurinenPauTameyes L9aurinenPauTameyes
  • 11-11-2016
  • Mathematics
contestada

Solve the equation on the interval [0, 2_).

cos x + 2 cos x sin x = 0

Respuesta :

Nirina7
Nirina7 Nirina7
  • 17-11-2016
cos x + 2 cos x sin x = 0, this is equivalent to cos x (1+ 2 sin x) = 0, so 
we have cosx=0 or 
1+ 2 sin x = 0, 
cosx=0, x= arccos(o) = pi/2 + 2kpi
1+ 2 sin x = 0, sinx = - 1/2, implies x=arcsin(- 1/2) = -pi/6 +2kpi
the solution is x=  pi/2 + 2kpi, or x =-pi/6 +2kpi, k is a relative integer
Answer Link

Otras preguntas

55 POINTS QUICK PLEASE!!!!!!! Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Bailey’s Cakes and Pastries baked a three-t
Question below........
If a satelite with a mass of 9 x 10^2 kg is placed in an orbit around a planet with a mass of 6 x 10^20 kg, at a speed of 17000 m/s, find the distance from the
In addition to its economic effects, Lincoln's proposal to free enslaved people in Confederate states also sought to strike a ______ blow against the South.
Radiant energy, capable of traveling through space is called.
What is the area of the reduced triangle? 24 cm? O 60 cm? O 75 cm? O 375 cm?
if TSA of cuboid box is 486 cmsquare find its volume​
Help help math math math math math
How could we slow down or help stop ocean acidification?
can anyone help me with this math question