The Archer Fish earns its name because it accurately sprays jets of water at insect prey, knocks them into the water, and has a quick meal. The ability to accurately do this has to overcome several geometric and physical challenges. In this module students explore these challenges in more detail.

In fact there are three mathematical physics challenges that are explored:

• Using they Pythagorean Theorem to find the distance the Archer Fish needs to spray its jet of water
• Using the Tangent Ratios and their inverses to find the angle of the spray of water
• Taking refraction into account by using Snell's Law

The definition of the term "Cosecant Ratio."

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The definition of the term: Cosine Difference Identity.

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The definition of the term "Cosine Ratio."

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The definition of the term: Cosine Sum Identity.

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The definition of the term "Cotangent Ratio."

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Definition of the term "Law of Cosines."

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The definition of the term "Law of Sines."

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The definition of one of the Pythagorean Identities.

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The definition of one of the Pythagorean Identities.

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The definition of one of the Pythagorean Identities.

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The definition of the term "Secant Ratio."

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The definition of the term: Sine Difference Identity.

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The definition of the term "Sine Ratio."

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The definition of the term: Sine Sum Identity.

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The definition of the term: Tangent Difference Identity.

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The definition of the term "Tangent Ratio."

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The definition of the term: Tangent Sum Identity.

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The definition of the term "Trig Ratios."

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In these math examples examine using trig ratios to solve for an unknown side of a right triangle.

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In these math examples examine using trig ratios to solve for an unknown side of a right triangle.

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To see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/3ebaVBj

In these math examples examine using trig ratios to solve for an unknown side of a right triangle.

Note: The download is a PNG file.

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To see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/3ebaVBj

In these math examples examine using trig ratios to solve for an unknown side of a right triangle.

Note: The download is a PNG file.

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To see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/3ebaVBj

In these math examples examine using trig ratios to solve for an unknown side of a right triangle.

Note: The download is a PNG file.

Related Resources

To see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/3ebaVBj

In these math examples examine using trig ratios to solve for an unknown side of a right triangle.

Note: The download is a PNG file.

Related Resources

To see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/3ebaVBj