Circular Functions Quiz, algebra homework help

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Mathematics

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1) If point P is located at on the unit circle, what is sin Θ and cos Θ?

A.

B.

C.

D.

2) If point P is located at on the unit circle, what is sin Θ and cos Θ?

A.

B.

C.

D.

3) Find the value of cos 420°.

A.

B.

C.

D.

4) Which of the following is equal to sin?

A.

B.

C.

D.

5) What is the period of the function shown below?

A.

B.

C.

D.

6) What is the period of the function shown below?

A.

B.

C.

D.

7) Which of the following is equal to cos 440°?

A. cos 620°

B. cos 350°

C. cos 260°

D. cos 80°

8) When a guitar string is plucked, it is displaced from a fixed point in the middle of the string and vibrates back and forth, producing a musical tone. The exact tone depends on the frequency, or number cycles per second, that the string vibrates. To produce an G, the frequency is 390 cycles per second, or 390 hertz. What is the period of this function?


A. 6/5 seconds

B. 0.02 seconds

C. 0.0025 seconds

D. 11.3 seconds

9) In a certain area of forested land, the population of rabbits R increases and decreases periodically throughout the year. If the population can be modeled by, where d represents the dth day of the year, what is the population on the 300th day of the year?

A. 132 rabbits

B. 220 rabbits

C. 532 rabbits

D. 620 rabbits

10) Which of the following functions is not periodic? Assume that no function has a period greater than 2π.

A.

B.

C.

D.

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Explanation & Answer

I have finished your assignment!😀 All the answers to the 10 questions are attached below. I'm sorry but I couldn't copy the file content and paste it here because I used some illustrations there! I hope you're satisfied with my work😊Reference(s) :https://math.libretexts.org/Core/Precalculus/Chapt...#P.S.: Please ask if something is unclear or bothering you, I'll be here to help!😙

For number 1 and 2, please look at
https://math.libretexts.org/Core/Prec...


Anonymous
Excellent resource! Really helped me get the gist of things.

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