Creating Trig Equations: Open Middle Exercises

Tim Brzezinski, Jan 3, 2022

Creating Trig Equations: Open Middle Exercises

Table of Contents

  1. Exercises
    1. Open Middle: Build a Trig Equation (1)
    2. Open Middle: Build a Trig Equation (2)
    3. Open Middle: Build a Trig Equation (3)
    4. Open Middle: Build a Trig Equation (4)
    5. Open Middle: Build a Trig Equation (5)
    6. Open Middle: Build a Trig Equation (6)
    7. Open Middle: Build a Trig Equation (7)
    8. Open Middle: Build a Trig Equation (8)
  2. Reference
    1. Trig Reference Circle (2): Choose Your Own Radius
    2. Trig Reference Circle: Choose Your Own Radius

1.

Exercises

  • 1. Open Middle: Build a Trig Equation (1)
  • 2. Open Middle: Build a Trig Equation (2)
  • 3. Open Middle: Build a Trig Equation (3)
  • 4. Open Middle: Build a Trig Equation (4)
  • 5. Open Middle: Build a Trig Equation (5)
  • 6. Open Middle: Build a Trig Equation (6)
  • 7. Open Middle: Build a Trig Equation (7)
  • 8. Open Middle: Build a Trig Equation (8)

1.1.

Open Middle: Build a Trig Equation (1)

Using any digit in the range [0-9] NO MORE THAN ONE TIME EACH, fill in the blanks on the right to create a trig equation with one of its (infinitely many) solutions.
Algebraically show how your solution satisfies your original equation above.
Using any digit in the range [0-9] NO MORE THAN ONE TIME EACH, create another valid setup that is ENTIRELY DIFFERENT from the one you created above.
Algebraically show how your solution satisfies your original equation above.
Given the fact we can only use digits [0-9] no more than one time each, what is the LOWEST POSSIBLE SOLUTION you can create here? Explore!
Given the fact we can only use digits [0-9] no more than one time each, what is the HIGHEST POSSIBLE SOLUTION you can create here? Explore!
– Tim Brzezinski

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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1.7.

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1.8.

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2.

Reference

  • 1. Trig Reference Circle (2): Choose Your Own Radius
  • 2. Trig Reference Circle: Choose Your Own Radius

2.1.

Trig Reference Circle (2): Choose Your Own Radius

Move the LARGE POINT (on right) to change the radius of the circle.
– Tim Brzezinski

2.2.

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