Graphs of Trigonometric Functions MAT146 FALL 2011Please note: graphs are in radian mode. Also: Notation varies throughout—please try to get used to different notations for the same thing.f(x)=sin(x) Odd function  Domain: All real numbers.  Range: [-1, 1].  Zeroes: for k any integer.  Periodic: xk2xkf(x)=cos(x) Even function  Domain: All real numbers.  Range: [-1, 1].  Zeros: for k any integer.  Periodic: (2 1) 2kx22kxf(x)=tan(x) Odd function  Domain: all x except odd multiples of  Range: All real numbers.  Zeros: for k any integer.  Asymptotes: for k any integer.  Periodic: 2 xk(2 1)2kx2f(x)=csc(x) Odd function  Domain: for k any integer.  Range:  Zeros: None  Asymptotes: for k any integer.  Periodic:  x x k x x k , 1 1,   xk2f(x)=sec(x) Even function  Domain: all real numbers except odd multiples of  Range:  Zeroes: None  Asymptotes: all odd multiples of  Periodic: (2 1) 2kx , 1 1,   2222f(x)=cot(x) Odd function  Domain: all x except multiples of for k any integer.  Range: All real numbers.  Zeroes: for k any integer.  Asymptotes: for k any integer.  Periodic:  x x k(2