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(cos^(- 1)x+sec^(- 1)x+tan^(- 1)x+cot^(-...

`(cos^(- 1)x+sec^(- 1)x+tan^(- 1)x+cot^(- 1)x)_(max)+6((sin^(- 1)x)^2+pi sin^-1 x)_(min)` equals

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cos [ tan^(-1){sin (cot^(-1)x)}] =

sin cot^(-1) tan cos^(-1) x is equal to :

int_(-1)^(1)[tan^(-1){sin(cos^(-1)x)}+cot^(-1){cos(sin^(-1)x)}dx=

int_(-1)^(1)[tan^(-1){sin(cos^(-1)x)}+cot^(-1){cos(sin^(-1)x)}dx=

sin {cot^(-1)[tan (cos^(-1)x)]=

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Evaluate: sin(cot^(-1)x) (ii) cos(tan^(-1)x)