How to verify a trig identity step by step

The video tutorial explains cofunction identities, focusing on cotangent and its relationship with other trigonometric functions. It discusses even-odd identities, reciprocal identities, and how to simplify expressions using these concepts. The tutorial emphasizes the reciprocal nature of cotangent and tangent, leading to simplification results like negative cosecant. The explanation is supported by examples and concludes with a summary of the identities discussed.

How does the text define the cosecant function in relation to sine?

What conclusion does the teacher reach about the answer to the problem discussed?