Question

How do you find the terminal point p(x,y) on the unit circle determined by the giving value of `t= (-3pi)/4`?

Answer 1

`(-sqrt2/2, -sqrt2/2)`

Explanation:

The coordinates of the terminal point would be`x= cos((-3pi)/4), y=sin((-3pi)/4)`

`x= cos((3pi)/4)= cos (pi- pi/4)= -cospi/4= -sqrt2/2`

`y=sin((-3pi)/4)= -sin((3pi)/4)= -sin(pi-pi/4)= -sinpi/4= -sqrt2/2`