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Name: Pythagorean Identities Three Pythagorean Identities Date: Period: 1. Beginning with sin2 + cos2 1, use algebra to derive the other two Pythagorean identities. 2. 3. 4

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How to fill out day 2 - pythagorean:

1. Begin by reviewing the principles of the Pythagorean theorem. Understand that it states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
2. Familiarize yourself with the given triangle for which you need to apply the Pythagorean theorem. Identify the lengths of the two legs and the hypotenuse.
3. Determine which sides of the triangle are known and which side you need to find. This will help you decide which form of the Pythagorean theorem to use.
4. If the lengths of both legs are known, use the Pythagorean theorem in its basic form: a^2 + b^2 = c^2, where a and b are the lengths of the legs and c is the length of the hypotenuse. Substitute the known values into the equation and solve for the unknown side.
5. If you know the length of one leg and the hypotenuse, use the Pythagorean theorem in its rearranged form: c^2 - a^2 = b^2. Substitute the known values into the equation and solve for the unknown side.
6. If you know the lengths of both legs, but need to find the hypotenuse, use the Pythagorean theorem in its rearranged form: a^2 + b^2 = c^2. Substitute the known values into the equation and solve for the hypotenuse.
7. Double-check your calculations and ensure that your answer is reasonable based on the given triangle.
8. Write down your findings clearly, indicating which side was calculated and its corresponding value.

Who needs day 2 - pythagorean?

1. Students studying geometry or mathematics who need to understand and apply the Pythagorean theorem.
2. Architects and engineers who need to calculate distances in right triangles for construction or designing purposes.
3. Surveyors who need to measure distances and angles accurately for land surveying.
4. Physics students who encounter right triangles in problems involving vectors or projectile motion.
5. Individuals interested in recreational mathematics and puzzles that involve right triangles and the Pythagorean theorem.

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What is day 2 - pythagorean?

Day 2 - pythagorean is a form used to calculate the length of the hypotenuse of a right triangle.

Who is required to file day 2 - pythagorean?

Anyone who needs to calculate the hypotenuse of a right triangle.

How to fill out day 2 - pythagorean?

To fill out day 2 - pythagorean, you will need to input the lengths of the two shorter sides of the right triangle.

What is the purpose of day 2 - pythagorean?

The purpose of day 2 - pythagorean is to determine the length of the hypotenuse in a right triangle.

What information must be reported on day 2 - pythagorean?

The information required is the lengths of the two shorter sides of the right triangle.

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