How to use right triangles to evaluate the composition of a trig function and its inverse

The video tutorial explains the concept of cosine inverse, representing it as an angle, and how it relates to cosine. The instructor demonstrates how to use this understanding to draw a right triangle and calculate the tangent of the angle using the Pythagorean theorem. The process involves identifying the missing side of the triangle and using it to find the tangent, emphasizing the lack of restrictions in this context.

What does the cosine inverse of 4 / 7 represent in terms of angles?

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How can you express the cosine inverse of 4 / 7 in terms of theta?

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What is the relationship between the sides of the triangle when calculating the tangent of theta?

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How do you find the missing side of the triangle given that 7^2 = 4^2 + a^2?

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Why is it important to use the positive version when calculating the length of the missing side in the triangle?

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