What is the meaning of SohCahToa?

ACRONYMS are very popular in math as they are used to make learning formulas and steps easier.

SohCahToa is mostly used in trigonometry math.

What is the meaning of SohCahToa?

SohCahToa is an acronym for Sine, Cosine, and Tangent, three main trigonometry functions. 

They are all based on ratios obtained from a right triangle.

Soh stands for Sine equals Opposite over Hypotenuse, Cah stands for Cosine equals Adjacent over Hypotenuse, and Toa stands for Tangent equals Opposite over Adjacent.

The names Opposite, Adjacent, and Hypotenuse come from the right triangle.

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How do you calculate SoCahToa?

SoCahToa is calculated through ratios.

Opposite is the side opposite to the angle in question, adjacent is the side next to the angle in question, and the hypotenuse is the longest side of a right triangle. 

The hypotenuse is always opposite the right angle.

A way to remember the function of SoCahToa is:

  • sin(θ) = opposite / hypotenuse (Soh)
  • cos(θ) = adjacent / hypotenuse (Cah)
  • tan(θ) = opposite / adjacent (Toa)

Why is SohCahToa trending?

A teacher at John W. North High School in California went viral on social media for wearing a Native American headdress and chanting SoCahToa while teaching her students the trigonometry function.

A student captured the clip and posted it on Twitter, subsequently landing the teacher in hot water and getting reprimanded by school district officials.

The Riverside Unified School District administration released a statement about the clip, saying: "These behaviors are completely unacceptable and an offensive depiction of the vast and expansive Native American cultures and practices. 

"Her actions do not represent the values of our district. 

Adding: “The teacher has been placed on leave while the District conducts an investigation.

"We are deeply committed to implementing inclusive practices and policies that honor the rich diversity of our district and the greater region.

"We will be working with our students, families, staff and community to regain your trust."

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