Determine whether each of the following is an identity or not.
cot2θ + cosθ = sin2θ
cot2θ + cosθ = sin2θ
Let θ = 45°.
LHS = cot2θ + cosθ = cot245° + cos45° = 1 + 
= 
… (1)
RHS = sin2θ = sin2(45°) = (
)2 = 1/2 … (2)
From (1) and (2), LHS ≠ RHS.
∴ The given equation is not an identity.
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