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Show that sin^(-1)sqrt(frac[x-q][p-q])=c...

Show that `sin^(-1)sqrt(frac[x-q][p-q])=cos^(-1)sqrt(frac[p-x][p-q])=cot^(-1)sqrt(frac[p-x][x-q])`

Text Solution

Verified by Experts

The correct Answer is:
`cot^(-1)sqrt((p-x)/(x-q))`
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Explore conceptually related problems

Show that sin^(-1)sqrt((x-q)/(p-q))=cos^(-1)sqrt((p-x)/(p-q))=cot^(-1)sqrt((p-x)/(x-q)) .

Prove the "sin"^(-1) sqrt((x-q)/(p-q))="cos"^(-1) sqrt((p-x)/(p-q))="cot"^(-1) sqrt((p-x)/(x-q))

Knowledge Check

  • Find frac[dy][dx] if y=xcot^(-1)(frac[x][y])

    A
    1992
    B
    1996
    C
    2000
    D
    2002

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