13 Mid-Chapter Quiz

Do you know HOW?

1. Find the period and amplitude of the periodic function.

   

2. Find the measure of the angle in standard position.

   

Sketch each angle in standard position.

3. − 150 ° negative 150 degrees
4. 240°

Write each measure in radians. Express the answer in terms of π and as a decimal rounded to the nearest hundredth.

5. − 180 ° negative 180 degrees
6. 36°

Write each measure in degrees. Round your answer to the nearest degree if necessary.

7. 2 3 π  radians 2 thirds , pi , radians
8. − 7 6 π  radians negative , 7 sixths , pi , radians
9. 0.5 radians
10. − 2 negative 2  radians

The measure θ of an angle in standard position is given. Find the exact values of cos θ and sin θ for each angle measure.

11. − 225 ° negative 225 degrees
12. 120°
13. − 4 π 3  radians negative , fraction 4 pi , over 3 end fraction . radians
14. 5 π 4  radians fraction 5 pi , over 4 end fraction . radians
15. Find the length of the intercepted arc to the nearest tenth for an arc with a central angle of measure θ = π 3 theta equals , pi over 3  on a circle of radius r = 10 . r equals 10 .
16. Sketch one cycle of a sine function with amplitude 3 and period 2.
17. Find the amplitude and period of the graph of y = 1 4 sin 3 θ . y equals , 1 fourth sine 3 theta .

Do you UNDERSTAND?

18. Open-Ended Sketch the graph of a periodic function with a period of 10 and an amplitude of 7.
19. Writing You are given an angle with a positive angle measure in degrees. Describe how you can find an angle coterminal with that angle that also has a positive angle measure in degrees.
20. Reasoning On a merry-go-round, you stand 15 feet from the center while your friend stands 10 feet from the center. How would you find how much further you travel in one revolution than your friend? What is that distance?
21. Reasoning Will two sine functions with the same period but different amplitudes intersect? Explain.

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