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Question
`"cos" ["tan"^-1 {"sin" ("cot"^-1 "x")}]` is equal to ____________.
Options
`sqrt(("x"^2 + 2)/("x"^3 + 3))`
`sqrt(("x"^2 + 2)/("x"^2 + 1))`
`sqrt(("x"^2 + 1)/("x"^2 + 2))`
None of these
MCQ
Fill in the Blanks
Solution
`"cos" ["tan"^-1 {"sin" ("cot"^-1 "x")}]` is equal to `underline(sqrt(("x"^2 + 1)/("x"^2 + 2))`.
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