Question

the terminal point determined by
t=-11pi/4

Answer 1

 

-Answer:

-11π

_

4

is a negative angle. In standard position, the initial side of the angle lies on the positive  x-axis and the angle opens clockwise. Every time the terminal side of the angle sweeps through the entire unit circle and reaches its starting point, the angle has opened baxis and the angle opens clockwise. Every time the terminal side of the angle sweeps through the entire unit circle and reaches its starting point, the angle has opened by  −2π radians

This means the angle opens clockwise from its initial position on the positive   x-axis, makes a full circle and passes through its starting point, and continues to open another - 3π

                                               _

                                                4

This puts the terminal side of the angle at −π

                                                                         _

                                                                          4

The positive co-terminal angle with -11π  would be 5π which would share its

                                                             _                       _

                                                              4                       4

terminal side with this angle as shown below:

Therefore, point (x,y)is

P (-√2,- √2)

      _    _

       2    2