No calculators:
Solve each equation for all θ in radians:
13. sec θ = undefined! !
!
!
14. tan θ = 1
15. csc θ = –2!
!
!
16. cot θ =
!
!
1
3
3
17. given cos θ = − , and θ is an angle in quadrant II, find:
7
sec θ =!
!
!
!
tan θ = !
csc θ = !
!
!
!
cot θ =
!
!
!
sin θ =
Find the exact value of each or state that the value is undefined:
18. tan(225°) =!
!
!
!
19. csc(240°) =
20. tan(690°) =!
!
!
!
21. cot(π) = !
!
22. csc(
With calculator: Solve each equation for all θ in degrees:
23. sec θ = 3!
!
!
!
24. tan θ = –1.2
π
)=
2
!
!
!
!
!
NO CALCULATOR.... CAREFUL HERE... NOTATION MEANS ONE ANSWER!
!
!
⎛ −1 ⎞
26. Sin −1 ⎜ ⎟ !
⎝ 2⎠
1⎞
⎛
cos ⎜ Sin −1 ⎟ ! !
⎝
2⎠
!
29. C os −1 Tan45 ! !
25. Tan −1 ( 3) !
28.
(
With a calc..... (round to hundredths place)
−1
31. Sin (.3) !!
!
!
32. Find all θ that satisfies !
sec θ = 8.4
!
)
27. Sec −1 (1)
2⎞
⎛
30. cot ⎜ Sin −1 ⎟
⎝
3⎠