Pre Calculus



Pre Calculus Name

HW Set 3

ALGEBRA REVIEW

Solve each equation. Show work neatly for every problem.

1. 9m[pic]+2 = 11m 1.__________________________________

2. 4x(x+1) = 1 2.__________________________________

3. 25x + [pic] = 20 3. __________________________________

4. 4x[pic]= 3x+5 4.__________________________________

Factor each expression

5. sin[pic]x – sin x 5. __________________________________

6. tan[pic]x + 8 6. __________________________________

7. (cos x) sin x + sin x +2cos x + 2 7. __________________________________

8. 5sec[pic]x + 26sec x + 5 8. __________________________________

9. 2cos[pic]x -7cos x – 15 9. __________________________________

FIND THE EXACT VALUE FOR EACH IN SIMPLEST FORM

10. cos 15[pic] 10. _________________________________

11. tan [pic] 11. _________________________________

12. sin [pic] 12. _________________________________

SUPPOSE [pic]IS IN THE INTERVAL [pic]< [pic]< [pic] AND COS[pic]= [pic] AND [pic]IS IN THE INTERVAL 0< [pic]< [pic] AND SIN[pic] = [pic]. USE THE INFORMATION TO FIND THE EXACT VALUE OF:

13. cos ([pic]) 13. _________________________________

14. sin ([pic]) 14._________________________________

15. sin (2[pic]) 15. _________________________________

PROVE EACH IDENTITY

16. [pic] = 1 + csc x

17. sin (x+y) cos(x – y) = sinxcosx + sinycosy

18. sin (3x) = (sin x)(4cos[pic]x – 1)

SOLVE OVER THE GIVEN DOMAIN

19. 2cos[pic]x = 1, inverse domain 19.___________________________

20. cos (2x) + 3cos x = -2, 0< x< 2[pic] 20. ___________________________

21. [pic] = [pic], Reals 21.___________________________

22. csc[pic]x = 2, 0< x< 2[pic] 22. ___________________________

23. 2sin(2x) = -tan (2x), 0< x< 2[pic] 23. ___________________________

24. sec x = [pic], Inverse 24.___________________________

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