Find the general solution of cosec x - cot x = 1
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Step-by-step explanation:
cosec x - cot x = 1 ---------------------(1)
We know, cosec² x−cot² x=1
⟹ (cosec x - cot x)(cosec x + cot x) =1
⟹ (1) (cosec x + cot x) =1
⟹ cosec x + cot x =1 ---------------- (2)
Solving (1) and (2) we get,
cosec x = 2
and cot x = 0
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