Question

if cosec² (1 + cos) (1 - cos) =k, then find the value of k
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Answer 1

cosec² (1 + cos) (1 - cos) = k

or, k = cosec² [(1 + cos) (1 - cos)]

= 1/sin² (1-cos²)

= (1-cos²) × 1/sin²

= sin² × 1/sin²

= 1.

so, k = 1.

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