Find the value of `sin^(-1) (sin 5) + cos^(-1) (cos 10) + tan^(-1) {tan(-6)} + cot^(-1) {cot(-10)}`

Find the value of `sin^(-1) (sin 5) + cos^(-1) (cos 10) + tan^(-1) {ta

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

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