Respuesta :
Answer:
Step-by-step explanation:
2 cos x + √ 2 = 0
2 cos x = -√ 2
cos x = -√ 2 / 2
x = arcCos( -√ 2 / 2 )
so to solve we have to use "co-terminal " angles .. do you know what I'm saying? do you understand the words coming out of my mouth :DDDDD OKay back to math and not movie lines .. :P
x = arcCos( √ 2 / 2 )
x = 45 °
now find the "co terminal" angle that is on 45 ° but in the correct quadrant... since the -√ 2 is negative.. we now that we go down the y axis.. but also positive on the x axis.. soooo.. that put the angle in the 4th quadrant... so this is an angle of 315° if we go in the CCW ( counter clock wise ) direction but it's also -45° in the CW (clock wise ) direction
below is the table to remember the trig special angles
notice how it's 1,2,3,4 .. so it's super easy to remember.. the trig books don't show you this "trick" :P
copy and paste this to your computer some where handy
Sin(0) = 0/2 =0
Sin(30)= [tex]\sqrt{1}[/tex]/2 = 1/2
Sing(45) =[tex]\sqrt{2}[/tex]/2 =[tex]\sqrt{2}[/tex]/2
Sin(60)=[tex]\sqrt{3}[/tex]/2 = [tex]\sqrt{3}[/tex]/2
Sin(90)=[tex]\sqrt{4}[/tex]/2 = 1
Cos is exactly the same but counts backwards from 90°
Cos(90) = 0/2 = 0
Cos(60) = [tex]\sqrt{1}[/tex] /2 = 1/2
Cos(45) = [tex]\sqrt{2}[/tex]/2 =[tex]\sqrt{2}[/tex]/2
Cos(30) = [tex]\sqrt{3}[/tex]/2 =[tex]\sqrt{3}[/tex]/2
Cos(0) = [tex]\sqrt{4}[/tex]/2 = 1
