Answer:
Reference angle will be [tex]45^{\circ}[/tex]
[tex]cos(45^{\circ})=0.707[/tex]
[tex]sin(45^{\circ})=0.707[/tex]
Step-by-step explanation:
We have given [tex]cos(405^{\circ})[/tex]
Which can be written as [tex]cos(405^{\circ})=cos(360+45)[/tex]
We know that [tex]45^{\circ}[/tex] is present in first quadrant
And in first quadrant the reference angle is angle itself
So reference angle will be = 45°
Now [tex]cos(405)=cos(2\pi +45)=cos45^{\circ}=0.707[/tex]
And [tex]sin(405)=sin(2\pi +45)=sin45^{\circ}=0.707[/tex]
