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Sin-1x + sin-1(1-x) = cot-1x Find …

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Sin^-1x + sin^-1(1-x) = cot^-1x

Find x.

Pls answer fast

Posted by Akash Panwar 6 years, 9 months ago

CBSE > Class 12 > Mathematics

1 answers

Arun Soni 6 years, 9 months ago

{tex}\eqalign{ & {\sin ^{ - 1}}x + {\sin ^{ - 1}}(1 - x) = {\cot ^{ - 1}}x \cr & {\sin ^{ - 1}}(x + 1 - x) = {\cot ^{ - 1}}x \cr & {\sin ^{ - 1}}(1) = {\cot ^{ - 1}}x \cr & {90^ \circ } = {\cot ^{ - 1}}x \cr & x = \cot {90^ \circ } \cr & x = 0 \cr} {/tex}

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CBSE > Class 12 > Mathematics

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