Determine whether each of the following is an identity or not.
cos2θ + sec2θ = 2 + sinθ
cos2θ + sec2θ = 2 + sinθ
Let θ = 0°
LHS = cos2θ + sec2θ = cos2θ° + sec20° = 1 +1 = 2 … (1)
RHS = 2 + sinθ = 2 + sin0° = 2 + 0 = 2 … (2)
From (1) and (2), LHS = RHS.
∴ The given equation is an identity.
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