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(2)+arccsin^(-1)(sqrt(3))-sec^(-1)(-2)" ...

(2)+arccsin^(-1)(sqrt(3))-sec^(-1)(-2)" is "cos udt

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tan^(-1)sqrt(3)-sec^(-1)(-2)

tan^(-1)(sqrt(3))+sec^(-1)(-2) =

Find the principal value of: i) sin^(-1)(-1/sqrt(2)) , ii) cos^(-1)(-sqrt(3)/2) iii) tan^(-1)(-sqrt(3)) iv) sec^(-1)(-2) v) "cosec"^(-1)(-sqrt(2)) , vii) cot^(-1)(-1/sqrt(3)) .

tan^(-1)sqrt(3)-sec^(-1)(-2)=(pi)/(3)

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The value of (cot^(-1)(-sqrt(3))+sec^(-1) (1)+tan^(-1)(-1))/(sin^(-1)(1//2) +cos^(-1)(-(sqrt(3))/(2)) +"cosec"^(-1)(-1)) is :