Title: Trigonometry - Fundamental Trigonometric Identities (Rep, Adv)

Complete each of the following indentities.

Q: \( \cos^2 x + \sin^2 x = \)
A: \( 1 \)

Q: \( 1 + \tan^2 x = \)
A: \( \sec^2 x \)

Q: \( \cot^2 x + 1 = \)
A: \( \csc^2 x \)