Let `y = sin^-1 (sin8) - tan^-1(tan 10) + cos^(-1) '(cos12)-sec^(-1) (sec9) + cot^-1(cot6) _ cosec^-1(cosec 7 )`. If y simplifies to `api + b` , then find `(a-b)`.

Let y = sin^-1 (sin8) - tan^-1(tan 10) + co^-1 '(cos1 2)-sec^-1 (sec9) + cot^-1(cot6) _ cosec^-1(cosec 7 ). If y simplifies to api + b , then find (a-b).

The value of sin^(-1)(cos2)-cos^(-1)(sin2)+tan^(-1)(cot4)-cot^(-1)(tan4)+sec^(-1)(cosec6)-cosec^(-1)(sec6) is

The value of sin^(-1)(cos2)-cos^(-1)(sin2)+tan^(-1)(cot4)-cot^(-1)(tan4)+sec^(-1)(cos ec6)-cos ec^(-1)(sec6

Find the value of sin^(-1)(sin7)+cos^(-1)(cos12)+tan^(-1){tan(-8)}+cot^(-1){cot(-11)}dot

cosec[tan^(-1)(cos(cot^(-1)(sec(sin^(-1)a))))] = ______

Find the following values : (a) tan^(1) tan.(13pi)/(5) (b) sec^(-1) sec.(13pi)/(3) (c) sin^(-1) sin.(33pi)/(5) (d) sin^(-1) (sin 8) (e) tan^(-1) (tan 10) (f) sec^(-1) (sec 9) (g) cot^(-1) (cot 6) (h) cosec^(-1) (cosec 7)

Find the following values : (a) tan^(-1) (tan13pi/5) (b) sec^(-1)( sec13pi/3) (c) sin^(-1) (sin33pi/5 ) (d) sin^(-1) (sin 8) (e) tan^(-1) (tan 10) (f) sec^(-1) (sec 9) (g) cot^(-1) (cot 6) (h) cosec^(-1) (cosec 7)

Find the following values : (a) tan^(1) tan.(13pi)/(5) (b) sec^(-1) sec.(13pi)/(3) (c) sin^(-1) sin.(33pi)/(5) (d) sin^(-1) (sin 8) (e) tan^(-1) (tan 10) (f) sec^(-1) (sec 9) (g) cot^(-1) (cot 6) (h) cosec^(-1) (cosec 7)

Prove that : (tan A + cot A) (cosec A - sin A) (sec A - cos A) = 1

sin A (1 + tan A) + cos A (1 + cot A) = sec A + cosec A .