Chapter 4 Trigonometric Functions

Trigonometric Functions
14.
5π 1
sec = = 2
3
1
2
24. a.
11π
− 3
tan = = −
6 3
1
2
3
2
15.
16.
17.
18.
19. a.
3π sin =− 1
2
3π cos = 0
2
3π sec = undefined
2
3π tan = undefined
2
b.
20. a.
b.
21. a.
π 3
cos = 6 2
⎛ π ⎞ π 3
cos⎜− cos
6
⎟ = =
⎝ ⎠ 6 2
π 1
cos = 3 2
⎛ π ⎞ π 1
cos⎜− cos
3
⎟= =
⎝ ⎠ 3 2
5π 1
sin = 6 2
25.
26.
b.
⎛ 11π
⎞ 11π
3
tan ⎜− tan
6
⎟= − =
⎝ ⎠ 6 3
8 15
sin t = , cost
=
17 17
8
17 8
tan t = =
15
15
17
17
csct
=
8
17
sect
=
15
15
cot t =
8
3 4
sin t = , cos t =
5 5
3
5 3
tan t = =
4
4
5
5
csct
=
3
5
sect
=
4
4
cot t =
3
b.
22. a.
b.
23. a.
⎛ 5π
⎞ 5π
1
sin ⎜− sin
6
⎟ =− = −
⎝ ⎠ 6 2
2π 3
sin = 3 2
⎛ 2π
⎞ 2π
3
sin ⎜− sin
3
⎟ =− =−
⎝ ⎠ 3 2
3
2
1
2
5π
−
tan = = − 3
3
27.
1 2 2
sin t = , cos t =
3 3
1
3 2
tan t = =
2 2 4
3
csct
= 3
3 2
sect
=
4
cot t = 2 2
b.
⎛ 5π
⎞ 5π
tan ⎜− = − tan = 3
3
⎟
⎝ ⎠ 3
500
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