D3aryrobleman
D3aryrobleman D3aryrobleman
  • 15-06-2016
  • Mathematics
contestada

Find all solutions in the interval [0, 2π). cos x = sin x.

Respuesta :

nobillionaireNobley
nobillionaireNobley nobillionaireNobley
  • 15-06-2016
cos x = sin x
cos x - sin x = 0
cos^2 x - 2cos x sin x + sin^2 x = 0
1 - 2sin x cos x = 0
1 - sin 2x = 0
sin 2x = 1
2x = arc sin 1
x = (arc sin 1)/2
x = 45, 135
Answer Link

Otras preguntas

the temporary capital of the united states in 1789 ?
In the local coed softball league the male to female ratio is 6:6 if there are a 160 players in the league how many are female
two triangles are similar. the sides in order of smallest to largest of the smaller triangle are 3.5, y, and x. the sides in order of smallest to largest of the
How were the Americans able to win such an overwhelming victory at Trenton?
Select all choices that apply. Which statements are true about the agricultural revolution? Choose all answers that are correct. A. It occurred suddenly in Meso
What are causes and effects of unemployment?
The Sumerians are the earliest known inventors of ___________.
in ancient Egyptian civilization the women were not given any rights.
a store advertises that customers can take 25%off the original price and then take an extra 10%off is this 35% of? explain
Most earthquakes happen: A.) near passive margins B.) near subduction zones C.) in the middle of continents D.) in a ring around the Atlantic Ocean