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  • Fill in the blanks The value of cot inverse minus x for all x belong R in terms of cot inverse x is _______.

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The value of cot–1(–x) for all x ϵ R in terms of cot–1 x is _______.

Answers (1)

The value of cot–1(–x) for all x ? R in terms of cot–1 x is

π – cot-1 x.

Let cot–1(–x) = A

⇒ cot A = -x

⇒ -cot A = x

⇒ cot (π – A) = x

⇒ (π – A) = cot-1 x

⇒ A = π – cot-1 x

So, cot–1(–x) = π – cot-1 x

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