Use a triangle to evaluate the composition of trig functions

The video tutorial explores the concept of tangent inverse and its limitations with the unit circle. It emphasizes the importance of triangles in trigonometry, explaining how trigonometric functions like sine and cosine are derived from them. The instructor guides students through evaluating the tangent inverse to find an angle Theta and subsequently calculating the cosine of that angle using the Pythagorean theorem. The session concludes with an introduction to a more abstract example, encouraging deeper understanding.

What is the fundamental idea behind the creation of the unit circle?

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How can tangent be expressed in terms of a triangle?

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What is the relationship between the tangent inverse and the angle Theta?

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How do you find the cosine of an angle using the tangent?

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What is the simplified form of the cosine value derived from the triangle?

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