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WEEK-24-EQUIVALENCE-BETWEEN-TRIGONOMETRIC-VALUES-OF-ANGLES
VIMSCHOOL
Created on January 3, 2025
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Objectives
Equivalence Between Trigonometric Values of Angles
Examples and More Identities
Summary
Applications
The Unit Circle and Identities
Story
Story
The Unit Circle and Some Identities
Pythagorean Identity
Angle Shifting
Examples and Related Identities
Using the sine function: ºThus,
Example: Consider θ = 30° and 150°:
Let's see some examples:
Example. For 135°:
Angle shifiting can also be viewed using the sum of angle identities.
Sum of Angles
Try It By Yourself
Try It By Yourself
Applications
Physics
Trigonometric values are used in various fields such as:
Engineering
Architecture
Summary
11TH-EQUIVALENCE-BETWEEN-TRIGONOMETRIC-VALUES-OF-ANGLES-EN © 2025 by CASURID is licensed under CC BY-NC-ND 4.0
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MA.912.T.2 Extend trigonometric functions to the unit circle. MA.912.T.2.4 Use the unit circle to express the values of sine, cosine and tangent for π-x , π+x , and 2π-x in terms of their values for x , where x is any real number. MA.912.T.2.5 Given angles measured in radians or degrees, calculate the values of the six basic trigonometric functions using the unit circle, trigonometric identities or technology. MA.912.T.3 Graph and apply trigonometric relations and functions. MA.912.T.3.2 Given a table, equation or written description of a trigonometric function, graph that function and determine key features.