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" 20."sin^(-1)sqrt((x-q)/(p-q))=cos^(-1)...

" 20."sin^(-1)sqrt((x-q)/(p-q))=cos^(-1)sqrt((p-x)/(p-q))=cot^(-1)sqrt((p-x)/(x-q))

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

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])

int dx/((x-p)sqrt((x-p)(x-q)) =

If cos^(-1)sqrt(p)+cos^(-1)sqrt(1-p)+cos^(-1)sqrt(1-q)=(3pi)/(4)"than :"q=

sqrt(x^(p-q))sqrt(x^(q-r))sqrt(x^(r-p))=1

int (dx)/((x-p)sqrt((x-p)(x-q)))

If cos^(-1) sqrt(p)+cos^(-1)sqrt(1-p)+cos^(-1) sqrt(1-q)=(3pi)/(4) , then the value of q is -

If cos^(-1) sqrt(p)+cos^(-1)sqrt(1-p)+cos^(-1) sqrt(1-q)=(3pi)/(4) , then the value of q is -