Answer:
Reference angle will be 30°
sin(330°) will be equal to [tex]\frac{-1}{2}[/tex]
cos(330°) will be equal to 0.866
Step-by-step explanation:
We have given angle is 330°
As the angle [tex]330^{\circ}[/tex] is in forth quadrant
We know that in forth quadrant the reference angle is given by
Reference angle [tex]=360-angle[/tex]
As the angle is 330°
So the reference angle will be [tex]=360-330=30^{\circ}[/tex]
Now we have to find the value of
sin(330°) [tex]=sin(2\pi -30)=-sin(30)=\frac{-1}{2}[/tex]
And now [tex]cos(330^{\circ})=cos(2\pi -30)=cos30=0.866[/tex]
