If cosec theta-cot theta =1/3, the value of(cosec theta+cot theta) is ?
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cosec θ - cot θ = 1 / 3 (given)
now, cosec2 θ - cot2θ = 1
⇒ (cosec θ - cot θ) (cosec θ + cot θ) = 1
⇒ (cosec θ + cot θ) × 1 / 3 = 1
⇒ (cosec θ + cot θ) = 3
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