Question

What are the coordinates of the terminal point for t=11pie/3

Answer 1

The coordinates are,

`x=1/2,\\y=-√(3) /2\\\\\\And \ the \ point \ is,\\P(1/2, -√(3)/2)`

Explanation:

Since we move t = 11pi/3 units on the cricle,

the angle is t,

Now, for a unit circle,

The x coordinate is given by cos(t)

And, the y coordinate is given by sin(t),

so,

`x=cos(11\pi /3)\\x = 1/2\\y = sin(11\pi /3)\\y= -√(3)/2`

So, the coordinates for the point are,

x = 1/2, y = -(sqrt(3))/2