If 7 sin2 θ + 3 cos2 θ = 4, 0° ≤ θ ≤ 90°, then find the value of θ.
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If sec θ + tan θ = m and sec θ - tan θ = n, prove that mn = 1.
If x = a sec θ + b tan θ and y = a tan θ + b sec θ, prove that x2 - y2 = a2 - b2.