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Question
The value of `sin^-1[cos(pi/3)] + sin^-1[tan((5pi)/4)]` is ______.
Options
`pi/3`
`pi/2`
`(2pi)/3`
π
MCQ
Fill in the Blanks
Solution
The value of `sin^-1[cos(pi/3)] + sin^-1[tan((5pi)/4)]` is `(2pi)/3`.
Explanation:
`sin^-1[cos(pi/3)] + sin^-1[tan((5pi)/4)]`
= `sin^1 (1/2) + sin^-1 (1)`
= `pi/6 + pi/2`
= `(2pi)/3`
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