Advertisements
Advertisements
Question
`sin^-1x + sin^-1 1/x + cos^-1x + cos^-1 1/x` = ______
Options
π
`pi/2`
`(3pi)/2`
`(2pi)/3`
MCQ
Fill in the Blanks
Solution
`sin^-1x + sin^-1 1/x + cos^-1x + cos^-1 1/x` = π
Explanation:
`sin^-1x + sin^-1 1/x + cos^-1x + cos^-1 1/x`
= `{sin^-1(x) + cos^-1(x)} + {sin^-1(1/x) + cos^-1(1/x)}`
= `pi/2 + pi/2 = pi`
shaalaa.com
Is there an error in this question or solution?
