Unformatted text preview: ther than θ:
π
t = 76 + 2πk or t = 11π + 2πk for integers, k . We will study the cosine and sine functions in greater
6
detail in Section 10.5. Until then, keep in mind that any properties of cosine and sine developed
in the following sections which regard them as functions of angles in radian measure apply equally
well if the inputs are regarded as real numbers. 13 Well, to be pedantic, we would be technically using ‘reference numbers’ or ‘reference arcs’ instead of ‘reference
angles’ – but the idea is the same. 10.2 The Unit Circle: Cosine and Sine 10.2.2 631 Exercises 1. Find the exact value of the cosine and sine of the following angles.
(a) θ = 0
π
(b) θ =
4
π
(c) θ =
3
π
(d) θ =
2
2π
(e) θ =
3 3π
4
=π
7π
=
6
5π
=
4
4π
=
3 3π
2
5π
=
3
7π
=
4
23π
=
6
13π
=−
2 43π
6
3π
=−
4
π
=−
6
10π
=
3
= 117π (f) θ = (k) θ = (p) θ = − (g) θ (l) θ (q) θ (h) θ
(i) θ
(j) θ 2. (a) If sin(θ) = − (m) θ
(n) θ
(o) θ (r) θ
(s) θ
(t) θ 7
with θ in Quadrant IV, what...
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 Fall '13
 Wong
 Algebra, Trigonometry, Cartesian Coordinate System, The Land, The Waves, René Descartes, Euclidean geometry

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