1) If a² + b² + 2ab cos θ = 1 ; c² + d² + 2cd cos θ = 1 and ac + bd + (ad + bc)cos θ = 0 ; then prove that a² + c² = cosec² θ. 2) If x = (sin³ p/cos² p) ; y = (cos³ p/sin² p) and sin p + cos p = 1/2 ; then find the value of x + y.
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