Q26 of 29 Page 8

If cosec θ = 2x and cot θ = 2/x find the value of 2.[CBSE 2010]

Given: 2x = cosec θ , and 2/x = cot θ


Consider 2(x2 – (1/ x2)) =



=


= (1/2)(cosec2 θ – cot2 θ)


= 1/2 (∵ cosec2 x – cot2 x = 1)

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