Math | Graded Assignment | Checkup: Graphs of Sine and Cosine Name: Date: Graded Assignment Checkup: Graphs of Sine and Cosine Answer the following questions using what you've learned from this lesson. Write your responses in the space provided, and turn the assignment in to your teacher. For each problem below, complete the given table of values. Then sketch a graph that shows two complete cycles. 1. y = − cos x (Hint: Find the value of cosine, then take its opposite.) x 0  6  4  3  2 2 3 3 4 5 6  7 6 5 4 4 3 3 2 5 3 7 4 11 6 2 13  6 − cos x X − cos x © 2015 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. Page 1 of 3 Math | Graded Assignment | Checkup: Graphs of Sine and Cosine 2. y = sin x + 1 (Hint: Find the value of sine, then add 1.) sin x + 1 x 0  6  4  3  2 2 3 3 4 5 6  7 6 5 4 4 3 3 2 5 3 7 4 11 6 2 13  6 sin x + 1 x sin x + 1 3. What are the domain, range, and period of y = − cos x (from the first problem)? 4. Using the definition of an even function, show that y = − cos x is even. © 2015 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. Page 2 of 3 Math | Graded Assignment | Checkup: Graphs of Sine and Cosine 5. What are the domain, range, and period of y = sin x + 1 (from the second problem)? 6. Using the definitions of odd and even functions, explain why y = sin x + 1 is neither odd nor even. © 2015 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. Page 3 of 3
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