Stitz-Zeager_College_Algebra_e-book

We explore this notion more in the following example

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Unformatted text preview: ions like x x sin(11x) = 1 . Now consider sin x = 1 , sin 32 = 1 and sin 52 = 1 . What do you find? 2 2 2 2 2 1 Replace with −1 and repeat the whole exploration. 2 744 Foundations of Trigonometry 10.7.2 Answers 1. (a) x = kπ 5 x = 0, π 2π 3π 4π 6π 7π 8π 9π , , , , π, , , , 5555 5555 π 2kπ 5π 2kπ + or x = + 9 3 9 3 π 5π 7π 11π 13π 17π x= , , , , , 999 9 9 9 π kπ x= + 24 6 π 5π 3π 13π 17π 7π 25π x= , , , , ,, , 24 24 8 24 24 8 24 29π 11π 37π 41π 15π , , , , 24 8 24 24 8 3π kπ x= + 8 2 3π 7π 11π 15π ,, , x= 88 8 8 π 2kπ 7π 2kπ x= + or x = + 12 3 12 3 π 7π 3π 5π 17π 23π x= , , , , , 12 12 4 4 12 12 π kπ x= + 3 2 π 5π 4π 11π x= , , , 363 6 3π 9π x= + 6kπ or x = + 6kπ 4 4 3π x= 4 π x = − + kπ 3 π 5π x= , 44 π 5π x = 0, , π, 3 3 π π 5π 3π x= , , , 62 6 2 π 5π 3π x= , , 662 2π 4π x = 0, , 33 (i) (b) x = (c) (d) (e) (f) (g) (h) 2. (a) (b) (c) (d) (e) 2π 5π , 33 3π 13π x= + kπ or x = + kπ 4 12 π 3π 13π 7π , x= , , 12 4 12 4 19π π x...
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