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Answer:
Given,
sin θ + cosec θ = 2
sin θ + (1/sin θ) – 2 = 0
sin2θ + 1 – 2 sin θ = 0
(sin θ – 1)2 = 0
sin θ – 1 = 0
sin θ = 1
cosec θ = 1/sin θ = 1
sin10θ + cosec10θ = (1)10 + (1)10 = 1 + 1 = 2
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