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Working with exact multiples of pi

Working with exact multiples of pi.

  • Treat π as an exact quantity.
  • Collect its coefficients. Use a calculator approximation only when requested.

Example 1

Simplify exactly. Leave the answer in terms of .

Collect the coefficients of the same exact quantity. Do not replace π with 3.14.

Example 2

Simplify exactly. Leave the answer in terms of .

Collect the coefficients of the same exact quantity. Do not replace π with 3.14.

Your turn

Question 1

Simplify exactly. Leave the answer in terms of .

Check answer
Collect the coefficients of the same exact quantity. Do not replace π with 3.14.
Question 2

Simplify exactly. Leave the answer in terms of .

Check answer
Collect the coefficients of the same exact quantity. Do not replace π with 3.14.
Question 3

Simplify exactly. Leave the answer in terms of .

Check answer
Collect the coefficients of the same exact quantity. Do not replace π with 3.14.
Question 4

Simplify exactly. Leave the answer in terms of .

Check answer
Collect the coefficients of the same exact quantity. Do not replace π with 3.14.
Question 5

Simplify exactly. Leave the answer in terms of .

Check answer
Collect the coefficients of the same exact quantity. Do not replace π with 3.14.
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