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Sin Cos Tan - Trigonometry Table

April 10, 2023
by
The Organic Chemistry Tutor
YouTube video player
Sin Cos Tan - Trigonometry Table

TL;DR

Learn how to calculate and understand the common trigonometric values for angles 0, 30, 45, 60, and 90 degrees.

Transcript

in this video we're going to construct a table of common trigonometric values that you'll typically see on an exam so the six common functions need to be familiar with are sine Theta cosine Theta tangent and then we have cosecant which is the reciprocal of sine and then secant Theta that's the reciprocal of cosine and cotangent Theta which is the r... Read More

Key Insights

  • 👨‍💼 There are six common trigonometric functions: sine, cosine, tangent, cosecant, secant, and cotangent.
  • 🔺 The angles 0, 30, 45, 60, and 90 degrees are frequently encountered in trigonometry.
  • 🆘 Understanding the relationship between radians and degrees can help in converting between the two.
  • 👨‍💼 The sine function follows a specific pattern as the angle increases, making it easier to memorize the values.
  • 👨‍💼 The reciprocal of sine is cosecant, and the reciprocal of cosine is secant.
  • ❓ Tangent is positive in quadrants 1 and 3, while cotangent is the reciprocal of tangent.
  • ❓ Some trigonometric values, like secant 90 degrees and cotangent 0 degrees, are undefined.

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Summary & Key Takeaways

  • There are six common trigonometric functions: sine, cosine, tangent, cosecant, secant, and cotangent.

  • The angles to be familiar with are 0, 30, 45, 60, and 90 degrees.

  • By understanding the relationship between radians and degrees, and using the reciprocal and square root functions, you can easily calculate the trigonometric values for these angles.


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