What are the coordinates of the terminal point determined by t=10pi/3

we know that

10*pi/3------> convert to degrees------> 10*180/3=600 degrees

600=360+240

240 degrees belong to the III quadrant

so

the x-coordinate is negative

the y-coordinate is negative

240°=180°+60°

60 degrees is the angle to find the terminal point

let

∅=60°

in the unit circle

r=1 units

x=-r*cos ∅----> x=-cos 60------> x=-(1/2)

y=-r*sin ∅----> y=-sin 60------> y=-(√3)/2

the point is

therefore

the answer is the option D

the area = 2x²+1

Step-by-step explanation:

=> area = l×b

=> area = 2x×x+1

=> area = 2x²+1