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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