find the coordinates of P and the exact values of the trigonomic functions at t whenever possible.
given
My answers
Sin(t) = 0 csc(t)= 1/0 or Undefined
cos(t) = 1 sec(t) = 1/1 or 1
tan(t) = 0/1 or 0 cot(t)= 1/0 or Undefined
The book
Sin(t) = 0 csc(t)= 1/0 or Undefined
cos(t) =- 1 sec(t) = - 1/1 or - 1
tan(t) = 0/1 or 0 cot(t)= 1/0 or Undefined
Given that the the point is why is cos(t) -1 as opposed to 1?
Hi rasczak,
A rotation of radians is an anti-clockwise rotation of or a half circle.
A rotation of is a full circle, back to the starting point.
Therefore, a rotation of brings you to the same position that a rotation of does.
This position is the extreme left of the unit circle.
The point here is (-1,0).
The horizontal co-ordinate is and the vertical co-ord is for any point on the circumference of the unit circle centred at (0,0).
If the rotation is done in a clockwise direction, we refer to this using negative angles.
Hence, a rotation of ends up at the same position that a rotation of ends up in.
This corresponds to an angle