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QR Challenge: Solve Trig Equations and Inverse Functions

Created using the ClassTools QR Treasure Hunt Generator

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Teacher Notes

A. Prior to the lesson:

1. Arrange students into groups. Each group needs at least ONE person who has a mobile device.

2. If their phone camera doesn't automatically detect and decode QR codes, ask students to

3. Print out the QR codes.

4. Cut them out and place them around your class / school.

B. The lesson:

1. Give each group a clipboard and a piece of paper so they can write down the decoded questions and their answers to them.

2. Explain to the students that the codes are hidden around the school. Each team will get ONE point for each question they correctly decode and copy down onto their sheet, and a further TWO points if they can then provide the correct answer and write this down underneath the question.

3. Away they go! The winner is the first team to return with the most correct answers in the time available. This could be within a lesson, or during a lunchbreak, or even over several days!

C. TIPS / OTHER IDEAS

4. A detailed case study in how to set up a successful QR Scavenger Hunt using this tool can be found here.

Questions / Answers (teacher reference)

Question

Answer

1. 1. arcsin ( 1/2 ) 30 degrees
2. 2. arctan ( -1) - 45 degrees
3. 3. arccos (-1) 180 degrees
4. 4. arccos ( - 1/2 ) 120 degrees
5. 5. arcsin ( - 1 ) -90 degrees
6. 6. arctan ( 0 ) 0 degrees
7. 7. arccos ( 0 ) 90 degrees
8. 8. arcsin ( -1 ) -90 degrees
9. 9. 4cos^2 x - 3 = 0 30, 150, 210, 330 degrees
10. 10. cos^3 x = cos x 90, 270, 0, 180 degrees
11. 11. sin x - sin (2x) = 0 0 , 180, 60, 300 degrees
12. 12. csc^2 x - csc x - 2 = 0 30, 150, 270 degrees
13. 13. cos^2 x = 1 - sin x 0, 180, 90 degrees
14. 14. tan x = 1 45, 225 degrees
15. 15. tan (2x) = 1 22.5, 112.5, 202.5, 292.5
16. 16. cos (2x) = 1/2 30, 150, 210, 330, degrees
17. 17. 2sin^2 x - sin x - 1 = 0, give all degree answers 210 + 360k, 330 + 360k, 90 + 360k
18. 18. 2 cos^2 x + cos x = 0, give all degree answers 90 + 180k, 120 + 360k, 240 + 360k
19. 19. sin ^2 x - 1 = 0, give all degree answers 90 + 360k, 270 + 360k
20. 20. 1 + sin x = 2 cos^2 x, give all degree answers 30 + 360k, 150 + 360k, 270 + 360k

 


Solve Trig Equations and Inverse Functions: QR Challenge

https://www.classtools.net/QR/decode.php?text=Solve Trig Equations and Inverse Functions
Q1/20:

1. arcsin ( 1/2 ) &choe=UTF-8

Question 1 (of 20)

 


Solve Trig Equations and Inverse Functions: QR Challenge

https://www.classtools.net/QR/decode.php?text=Solve Trig Equations and Inverse Functions
Q2/20:

2. arctan ( -1) &choe=UTF-8

Question 2 (of 20)

 


Solve Trig Equations and Inverse Functions: QR Challenge

https://www.classtools.net/QR/decode.php?text=Solve Trig Equations and Inverse Functions
Q3/20:

3. arccos (-1) &choe=UTF-8

Question 3 (of 20)

 


Solve Trig Equations and Inverse Functions: QR Challenge

https://www.classtools.net/QR/decode.php?text=Solve Trig Equations and Inverse Functions
Q4/20:

4. arccos ( - 1/2 ) &choe=UTF-8

Question 4 (of 20)

 


Solve Trig Equations and Inverse Functions: QR Challenge

https://www.classtools.net/QR/decode.php?text=Solve Trig Equations and Inverse Functions
Q5/20:

5. arcsin ( - 1 ) &choe=UTF-8

Question 5 (of 20)

 


Solve Trig Equations and Inverse Functions: QR Challenge

https://www.classtools.net/QR/decode.php?text=Solve Trig Equations and Inverse Functions
Q6/20:

6. arctan ( 0 ) &choe=UTF-8

Question 6 (of 20)

 


Solve Trig Equations and Inverse Functions: QR Challenge

https://www.classtools.net/QR/decode.php?text=Solve Trig Equations and Inverse Functions
Q7/20:

7. arccos ( 0 ) &choe=UTF-8

Question 7 (of 20)

 


Solve Trig Equations and Inverse Functions: QR Challenge

https://www.classtools.net/QR/decode.php?text=Solve Trig Equations and Inverse Functions
Q8/20:

8. arcsin ( -1 ) &choe=UTF-8

Question 8 (of 20)

 


Solve Trig Equations and Inverse Functions: QR Challenge

https://www.classtools.net/QR/decode.php?text=Solve Trig Equations and Inverse Functions
Q9/20:

9. 4cos^2 x - 3 = 0 &choe=UTF-8

Question 9 (of 20)

 


Solve Trig Equations and Inverse Functions: QR Challenge

https://www.classtools.net/QR/decode.php?text=Solve Trig Equations and Inverse Functions
Q10/20:

10. cos^3 x = cos x &choe=UTF-8

Question 10 (of 20)

 


Solve Trig Equations and Inverse Functions: QR Challenge

https://www.classtools.net/QR/decode.php?text=Solve Trig Equations and Inverse Functions
Q11/20:

11. sin x - sin (2x) = 0 &choe=UTF-8

Question 11 (of 20)

 


Solve Trig Equations and Inverse Functions: QR Challenge

https://www.classtools.net/QR/decode.php?text=Solve Trig Equations and Inverse Functions
Q12/20:

12. csc^2 x - csc x - 2 = 0 &choe=UTF-8

Question 12 (of 20)

 


Solve Trig Equations and Inverse Functions: QR Challenge

https://www.classtools.net/QR/decode.php?text=Solve Trig Equations and Inverse Functions
Q13/20:

13. cos^2 x = 1 - sin x &choe=UTF-8

Question 13 (of 20)

 


Solve Trig Equations and Inverse Functions: QR Challenge

https://www.classtools.net/QR/decode.php?text=Solve Trig Equations and Inverse Functions
Q14/20:

14. tan x = 1 &choe=UTF-8

Question 14 (of 20)

 


Solve Trig Equations and Inverse Functions: QR Challenge

https://www.classtools.net/QR/decode.php?text=Solve Trig Equations and Inverse Functions
Q15/20:

15. tan (2x) = 1 &choe=UTF-8

Question 15 (of 20)

 


Solve Trig Equations and Inverse Functions: QR Challenge

https://www.classtools.net/QR/decode.php?text=Solve Trig Equations and Inverse Functions
Q16/20:

16. cos (2x) = 1/2 &choe=UTF-8

Question 16 (of 20)

 


Solve Trig Equations and Inverse Functions: QR Challenge

https://www.classtools.net/QR/decode.php?text=Solve Trig Equations and Inverse Functions
Q17/20:

17. 2sin^2 x - sin x - 1 = 0, give all degree answers &choe=UTF-8

Question 17 (of 20)

 


Solve Trig Equations and Inverse Functions: QR Challenge

https://www.classtools.net/QR/decode.php?text=Solve Trig Equations and Inverse Functions
Q18/20:

18. 2 cos^2 x + cos x = 0, give all degree answers &choe=UTF-8

Question 18 (of 20)

 


Solve Trig Equations and Inverse Functions: QR Challenge

https://www.classtools.net/QR/decode.php?text=Solve Trig Equations and Inverse Functions
Q19/20:

19. sin ^2 x - 1 = 0, give all degree answers &choe=UTF-8

Question 19 (of 20)

 


Solve Trig Equations and Inverse Functions: QR Challenge

https://www.classtools.net/QR/decode.php?text=Solve Trig Equations and Inverse Functions
Q20/20:

20. 1 + sin x = 2 cos^2 x, give all degree answers &choe=UTF-8

Question 20 (of 20)