Suppose that P is the point on the unit circle obtained by rotating the initial ray counterclockwise through 240°. Find the measure of the reference angle for 240°, and then find sin(240°) and cos(240°).

Respuesta :

Answer:

Reference angle will be 60°

sin(240°) [tex]\frac{-\sqrt{3}}{2}[/tex]

cos(240) = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

We have given angle 240°

We ave t find the reference angle of 240°

As we know that 240° will lie in third quadrant

And for third quadrant reference angle is given by

Reference angle = angle - 180° =240°-180 = 60°

Now we have to find the value of sin(240°)

[tex]sin(240^{\circ})=sin(180+60)=-sin60^{\circ}=\frac{-\sqrt{3}}{2}[/tex]

Now [tex]cos(240^{\circ})=cos(180+60)=-cos60^{\circ}=\frac{-{1}}{2}[/tex]

Answer:

Step-by-step explanation:

its already answered :(