Stitz-Zeager_College_Algebra_e-book

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Unformatted text preview: ot an accident and a more general result will be given in Section 10.4. 10.2 The Unit Circle: Cosine and Sine 10.2.3 Answers 1. (a) cos(0) = 1 sin(0) = 0 (b) (c) (d) (e) (f) (g) (h) √ 2 π cos = 4 2 √ 2 π sin = 4 2 π 1 cos = 3 2 √ 3 π sin = 3 2 π cos =0 2 π sin =1 2 1 2π =− cos 3 2 √ 2π 3 sin = 3 2 √ 2 3π cos =− 4 2 √ 3π 2 = sin 4 2 cos(π ) = −1 sin(π ) = 0 √ 7π 3 cos =− 6 2 (c) (d) (e) (f) 3. (a) sin 7π 6 5π 4 5π sin 4 4π (j) cos 3 4π sin 3 3π (k) cos 2 3π sin 2 5π (l) cos 3 5π sin 3 (i) cos =− 1 2 √ sin 23π 6 =− 2 =− 2 √ 2 =− 2 1 =− 2 √ 3 =− 2 43π (p) cos − 6 43π sin − 6 =0 (q) cos − = −1 = 1 2√ 3 =− 2 √ 7π 2 = (m) cos 4 2 √ 2 7π sin =− 4 2 √ 23π 3 (n) cos = 6 2 13π 2 13π sin − 2 (o) cos − 3π 4 3π sin − 4 π (r) cos − 6 π sin − 6 10π (s) cos 3 10π sin 3 1 2 =0 = −1 √ =− = 1 2 √ 3 2 2 =− 2 √ 2 =− 2 √ 3 = 2 1 =− 2 1 =− 2 √ 3 =− 2 (t) cos(117π ) = −1 sin(117π ) = 0...
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