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Question
The value of the expression sin [cot–1 (cos (tan–11))] is ______.
Options
0
1
`1/sqrt(3)`
`sqrt(2/3)`
Solution
The value of the expression sin [cot–1 (cos (tan–11))] is `sqrt(2/3)`.
Explanation:
`sin[cot^-1 (cos pi/4)] = sin[cot^-1 1/sqrt(2)]`
= `sin[sin^-1 sqrt(2/3)]`
= `sqrt(2/3)`
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