Stitz-Zeager_College_Algebra_e-book

We explore this notion more in the following example

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

{[ snackBarMessage ]}

What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern