Find the value of `sin^(-1)(sin5)+cos^(-1)(cos10)+tan^(-1){tan(-6)}+cot^(-1){cot(-10)}dot`

Find the value of `sin^(-1)(sin5)+cos^(-1)(cos10)+tan^(-1){tan(-6)}+co

1.	Find the value of `sin^(-1)(sin5)+cos^(-1)(cos10)+tan^(-1){tan(-6)}+cot^(-1){cot(-10)}dot`
Answer» `sin^-1(sin5)+cos^-1(cos10)+tan^-1(tan(-6))+cot^-1(cot(-10))` `=sin^-1(sin(5-2pi))+cos^-1(cos(4pi-10))-tan^-1(tan(6-2pi))+pi - cot^-1(cot(10-3pi))` `=5-2pi+4pi-10-6+2pi+pi-10+3pi` `=8pi-21` `:. sin^-1(sin5)+cos^-1(cos10)+tan^-1(tan(-6))+cot^-1(cot(-10)) = 8pi-21`

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