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.

Why can't the tangent inverse of 4 be found on the unit circle?

• Because 4 is not a value on the unit circle.

• Because the unit circle is only for cosine values.

• Because the unit circle only includes sine values.

• Because tangent values are always less than 1.

What is the fundamental idea behind trigonometric functions?

• They are derived from rectangles.

• They are based on squares.

• They are derived from triangles.

• They are based on circles.

When evaluating the tangent inverse, what are we ultimately trying to find?

• A sine value

• An angle Theta

• A tangent value

• A cosine value

How can the tangent of 4 be represented in a triangle?

• As 4 over 1

• As 1 over 4

• As 0 over 4

• As 4 over 0

What is the simplified form of the cosine value found in the triangle?

• 1 / sqrt 17

• sqrt 17 / 17

• 17 / sqrt 17

• sqrt 17 / 1