trig

Between pi and 2pi      sin is negative      ( if cos is negative too, theta is in Q III)

 

Remember    sin² + cos² = 1

                       sin² = 1 - cos²

                       sin² = 1- (-5/7)² = 24/49

                        sin = -  sqrt24 / 7    (REMEMBER: sin has to be negative between pi and 2pi)

 

Then     csc  =   1/sin   =   - 7/sqrt24

             sec = 1/cos    =   - 7/5

             tan = sin/ cos = ............

              cot = cos/sin =..............