Trigonometric function

High school (ages 12+)
Mathematics & Numbers

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Date:

Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/trigonometric-function

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. What is the historical significance?Developed from ancient astronomical and surveying needs, formalized by mathematicians across cultures
2. How do sine, cosine, and tangent work?In a right triangle, sine is the opposite side divided by the hypotenuse, cosine is the adjacent side divided by the hypotenuse, and tangent is the opposite side divided by the adjacent side.
3. Why do trigonometric functions repeat every 360 degrees?Sine and cosine repeat their values every full circle, or 360 degrees, because the shape of the unit circle repeats as you go around it.

Unit Circle: A circle with a radius of 1, used to extend trigonometric functions beyond right triangles.
Periodicity: The property of a function repeating its values at regular intervals.
Euler's Formula: A mathematical identity linking complex exponentials to sine and cosine functions.