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Understanding SohCahToa: The Basics of Trigonometry Explained

SohCahToa is a mnemonic used to remember the definitions of sine, cosine, and tangent in trigonometry. It stands for Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, and Tangent = Opposite/Adjacent. This easy-to-remember formula helps students and learners understand how to solve for the sides of right triangles based on their angles. In this guide, we’ll dissect SohCahToa, provide examples, and explain the concepts of opposite, adjacent, and hypotenuse in detail, ensuring you grasp the fundamentals of trigonometric functions.

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Understanding SohCahToa: The Basics of Trigonometry Explained

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Presentation Transcript

  1. Question ! What is SohCahToa? Is it in a tree, is it in a car, is it in the sky or is it from the deep blue sea ?

  2. This is an example of a sentence using the word SohCahToa. I kicked a chair in the middle of the night and my first thought was I need to SohCahToa.

  3. An example of an acronym for SohCahToa. Seven old horses Crawled a hill To our attic..

  4. Soh Sine = opposite overhypotenuse Cah Cosine = adjacentoverhypotenuse Toa Tangent = oppositeoveradjacent SohCahToa hypotenuse opposite any angle adjacent opposite opposite adjacent Sine = Cosine = Tangent = hypotenuse adjacent hypotenuse

  5. hypotenuse opposite any angle adjacent The opposite side is directly across from the angle. The adjacent side is in contact with the angle. The hypotenuse is the side directly across from the 90 degree angle.

  6. any angle hypotenuse adjacent opposite The opposite side is directly across from the angle. The adjacent side is in contact with the angle. The hypotenuse is the side directly across from the 90 degree angle.

  7. o 60 2 = hypotenuse adjacent = 1 3 = opposite o 3 o 1 o 3 Sine 60 = = Tangent 60 = Cosine 60 2 2 1

  8. 2 = hypotenuse opposite = 1 o 30 adjacent = 3 o 1 1 o 3 = Tangent o = 30 Cosine 30 Sine 30 = 3 2 2

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