Home
Class 12
MATHS
Let y = sin^-1 (sin8) - tan^-1(tan 10) ...

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)`.

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Section A: Domain, Range|28 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -2 (Level -I)|7 Videos

  • INDEFINITE INTEGRATION

    MOTION|Exercise EXERCISE - 4 (LEVEL - II)|6 Videos

  • LIMIT

    MOTION|Exercise EXERCISE-4|17 Videos

Similar Questions

Explore conceptually related problems

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).

sec^(2) ( tan^(-1)2) + cosec^(2) ( cot^(-1)3) =

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

sec^(2)(tan^(-1)2) + "cosec"^(2)(cot^(-1)3)=

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

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)

If y = tan^(-1) x + cot^(-1) x + sec^(-1) + "cosec"^(-1) x . "then" (dy)/(dx) is equal to

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