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Basic Trigonometry II

August 14, 2007
by
Khan Academy
YouTube video player
Basic Trigonometry II

TL;DR

This video provides a basic explanation of the tangent, sine, and cosine functions in trigonometry.

Transcript

Welcome to the second part of the presentation on basic trigonometry. In the last 10 minutes, I had trouble getting in a lot of examples, so I want to do a couple more with you guys. OK. So, let me start over just because this got messy. And we're just going to do what we did in the last time around. So let me just draw another right triangle. And ... Read More

Key Insights

  • 🙃 The Pythagorean Theorem is an essential concept in trigonometry for finding the length of the sides of a right triangle.
  • 👨‍💼 Trigonometry and its functions, such as tangent, sine, and cosine, have practical applications in measuring distances and heights.
  • ❓ The mnemonic "Soh Cah Toa" is useful for remembering the definitions of the trigonometric functions.

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Questions & Answers

Q: What is the mnemonic for remembering the trigonometric functions?

The mnemonic for remembering the trigonometric functions is "Soh Cah Toa," which stands for Sine equals opposite over hypotenuse, Cosine equals adjacent over hypotenuse, and Tangent equals opposite over adjacent.

Q: How do you find the tangent of a specific angle in a right triangle?

To find the tangent of a specific angle in a right triangle, you divide the length of the opposite side by the length of the adjacent side.

Q: How do you find the sine of a specific angle in a right triangle?

To find the sine of a specific angle in a right triangle, you divide the length of the opposite side by the length of the hypotenuse.

Q: How do you find the cosine of a specific angle in a right triangle?

To find the cosine of a specific angle in a right triangle, you divide the length of the adjacent side by the length of the hypotenuse.

Summary & Key Takeaways

  • The video begins with a review of the Pythagorean Theorem and introduces a right triangle with side lengths of 6 and 5.

  • The tangent of an angle is defined as the opposite side divided by the adjacent side.

  • The sine of an angle is defined as the opposite side divided by the hypotenuse.


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