A simplified version of sin2 θ (1 + cot2 θ) = 1 is
A) sin2 θ (sin2 θ) = 1
B) sin2 θ (tan2 θ) = 1
C) sin2 θ (csc2 θ) = 1
D) sin2 θ (1 - tan2 θ) = 1
sin²θ(1 + cot²θ) = 1
Since 1 + cot²θ = csc²θ:
sin²θ·csc²θ = 1