Finding Trigonometric Coordinates for the 45-Degree Angle on the Unit Circle

Finding Trigonometric Coordinates for the 45-Degree Angle on the Unit Circle

Assessment

Interactive Video

Mathematics

1st - 6th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

This lesson teaches how to find the trigonometric coordinates for a 45-degree angle on the unit circle using properties of isosceles right triangles. It covers the application of the Pythagorean theorem to determine the length of the triangle's legs and explains the process of rationalizing the denominator to simplify expressions. The lesson concludes with determining the coordinates as the square root of 2 over 2 for both sine and cosine of the 45-degree angle.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of rationalizing the denominator when finding x.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the trigonometric coordinates for the 45-degree angle of the unit circle?

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