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Question

tan1n+cot1(n+1) is equal to



A
cot -1 (n2 - n + 1)
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B
 cot -1 (n2 + n + 1)
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C
tan -1 (n2 + n + 1)
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D
None of these
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Solution

The correct option is D tan -1 (n2 + n + 1)

tan1n+cot1(n+1)

=tan1+tan11n+1

=tan1[n+1n+11n1n+1]

=tan1[n2+n+1n+1n]

=tan1(n2+n+1)


Mathematics

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