Trig Review

1. Sketch the graph of f(x) = ex.

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

3. If f(x) = 2x, then explain the transformation of f(x) = 2x+3+5.

4. Convert to radian measure:1500, 2250, 3000, -600.

5. Convert to degree measure:

6

7- ,

2

5 ,

4

7 ,

3

4

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 ( )=3

7. Which is larger, m<A = 150

or m<B = 15 radians? Justify your answer.

8. Convert 9000 to revolutions. Convert

to revolutions.4

27

9. If Tan ,

evaluate Sin .q

10. If Sin q = -2/9 and Tan q > 0, evaluate Sec .q

22

3 and

12

5

11. Evaluate ArcSin(Sin 11 /6).p

12. Graph: y = 3 Sin - 1.q

13. Calculate the amplitude and period of y = -4Cos(3q).

14. Simplify: Cos (-q)*Csc (-q).

15. Simplify: Sin2 (p/2-q)/Sec (-q).

16. Simplify: Cot (q) + Tan (q).

17. Simplify: 1-3Sin2(q) +2Sin2(q).

18. Simplify: Cos4 (q)-Sin4 (q).

19. Simplify:

2

2

1CscCot

20. Prove: Sin2 = q2SinqCos .q

21. Prove: 2-Cos2 -(1-qCos2 )=1.q

22. Prove: Tan +q Tan3 =q Sec2 /q Cot .q

23. Prove: Sin2qCos =q Cos -q Cos3 .q

24. Solve on the interval [0,2p):

3(Sinq+1)=Sinq+4

25. Calculate the exact solution to:

26. Solve on the interval [0,2p):

013 Cot

024 2 Cos

27. Calculate the exact solution to: Tan2 = q Tan .q

28. Calculate the exact solution to: 3Cos2 -10q Cos +3=0.q