Write each of the following in the simplest form:`cot^(-1){a/(sqrt(x^2

1.	Write each of the following in the simplest form:`cot^(-1){a/(sqrt(x^2-a^2))},\|x\|> a`
Answer» `cot^-1{a/sqrt(x^2 - a^2)}` let `x= acosec theta` `cot^-1 { a/sqrt(a^2 cosec^2 theta - a^2)}` `cot^-1 { a/(a sqrt(cosec^2 theta -1))}` `cot^-1 (tan theta)` `cot^-1(cot(pi/2 - theta))` `pi/2 - cosec^-1 (x/a) ` `= sec^-1 (x/a)` Answer

Discussion

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