sec(acot(-5/12)) – InterviewSolution

1.

sec(acot(-5/12))

Answer»

sec [cot^-1(-5/12)]

= sec [pi - cot^-1(5/12)]

= - sec(cot^-1(5/12))

= - sec(tan^-1(12/5))

= - sec(cos^-1(1/sqrt(1 + (12/5)^2)

= - sec(cos^-1(1/sqrt((25 +144)/25))

= - sec(cos^-1(5/13))

= - sec(sec^-1(13/5))

= - 13/5

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