How to verify an identity without finding the LCD

The video tutorial explains how to verify a trigonometric identity involving sine, cosecant, cosine, and secant. The instructor begins by introducing the identity and discussing the need to work with rational expressions and common denominators. By applying reciprocal identities, the expression is simplified, leading to the verification of the identity using the Pythagorean identity. The tutorial concludes with the confirmation that the identity holds true.

Describe the process of applying reciprocal identities in this context.

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How can you verify the identity sine squared of X plus cosine squared of X equals 1?

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