Trig Review

1.Sketch the graph of f(x) = e x. 2.Sketch the graph of g(x) = ln x.

3.If f(x) = 2 x, then explain the transformation of f(x) = 2 x Convert to radian measure: 150 0, 225 0, 300 0, Convert to degree measure:

6. Find the following inverse trig functions in both degrees and radians. Sin -1 (1/2)= Sin -1 (-1/2)= Sin -1 (-1)= Cos -1 (-1/2)= Cos -1 (0)= Cos -1 (1)= Tan -1 (-1)= Tan -1 ( )=

7.Which is larger, m<A = 15 0 or m<B = 15 radians? Justify your answer. 8. Convert to revolutions. Convert to revolutions.

9. If Tan, evaluate Sin   If Sin  = -2/9 and Tan  > 0, evaluate Sec 

11. Evaluate ArcSin(Sin 11   Graph: y = 3 Sin   Calculate the amplitude and period of y = -4Cos(3  ).

14. Simplify: Cos (-  )*Csc (-  ). 15. Simplify: Sin 2 (  /2-  )/Sec (-  ). 16. Simplify: Cot (  ) + Tan (  ). 17. Simplify: 1-3Sin 2 (  ) +2Sin 2 (  ). 18. Simplify: Cos 4 (  )-Sin 4 (  ). 19. Simplify:

20. Prove: Sin2  Sin  Cos   Prove: 2-Cos 2  Cos 2   Prove: Tan  Tan 3  Sec 2  Cot   Prove: Sin 2  Cos  Cos  Cos 3 

24. Solve on the interval [0,2  ): 3(Sin  +1)=Sin  Calculate the exact solution to: 26. Solve on the interval [0,2  ):

27. Calculate the exact solution to: Tan 2  Tan   Calculate the exact solution to: 3Cos 2  Cos 