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cosec^(-1)(2)

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For the principal values,evaluate each of the following: tan^(-1)sqrt(3)-sec^(-1)(-2)+csc^(-1)(2)/(sqrt(3))2sec^(-1)(2)-2csc^(-1)(-2)

cosec"^(-1)(-sqrt(2))

cosec"^(-1)(-sqrt(2))

If sec^(-1)(2) +"cosec"^(-1) (y) = pi/2 , then find y .

sec^(-1)(-3/2)+cosec^(-1)(-3/2)=(pi)/2

(tan ^(-1) (sqrt(3))-sec ^(-1)(-2))/("cosec"^(-1)(-sqrt(2))+cos^(-1)""(-(1)/(2)))=

(tan^(-1)(sqrt3)-sec^(-1)(-2))/(cosec^(-1)(-sqrt2)+cos^(-1)(-(1)/(2))) is equal to

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