Precalculus Accelerated
Trig Identities/Proof – 2007
Review of Factoring - Assign #26
Name: _______________________
Today’s preparation determine’s
tomorrow’s achievements.
Directions - Factor each completely
1. 3x 2 ! 4x ! 15
2. 1 ! x 2
3. 27x 4 + 15x 2 ! 2
5. 3x 2 y 2 ! 3x 4
6. 54a 3 + 16b3
7. 8x 3 ! 1
8. 9x 2 ! 6xy ! 8y 2
9. 12ax ! 20bx ! 9ay + 15by
10. cos 2 ! " 1
11. sin 2 ! " 9sin ! + 18
12. 2cos 2 ! + 15cos! " 8
(
4. x 2 ! 9 y ! 2
)
2
13. 2sin 2 ! + 3sin ! cos! " 9cos 2 !
15. 3sin 2 ! + 5sin ! cos! " 2cos 2 !
14. sin 4 ! " 16
Directions - Solve for ! , 0 ! " < 2# .
16. sin ! = 0
17. sec ! = 2
19. tan ! = undefined
20. csc ! = "
18. cos! = "
2 3
3
3
2
21. cot ! = 0
Selected Answers
(
)(
)
4. (x + 3y - 6)(x - 3y + 6)
6. 2 3a + 2b 9a 2 ! 6ab + 4b2
11. (sin ! - 3) (sin ! - 6)
13. (2sin! - 3cos! ) (sin! + 3cos! )
14. (sin! - 2)(sin! + 2)(sin 2! +4)
17.
! 5!
,
3 3
9. (4x - 3y)(3a - 5b)
20.
4! 5!
,
3 3