(cos square theta -1)×(cot square theta 1
+1) = -1
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Answer:
(cos²Ф - 1) × (cot²Ф + 1) = -1
LHS :
(cos²Ф - 1) × ( cosec²Ф)
(cos²Ф - 1)× (1/sin²Ф)
cos²Ф - (sin²Ф + cos²Ф) / sin²Ф (sin²Ф + cos²Ф = 1 )
cos²Ф - sin²Ф - cos²Ф/ sin²Ф
= - sin²Ф/sin²Ф
= -1 = RHS
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