Home
Class 12
MATHS
If a=sin^(-1) (-sqrt2/2)+cos^(-1) (-1/2)...

If `a=sin^(-1) (-sqrt2/2)+cos^(-1) (-1/2) and b=tan^(-1) (-sqrt3)-cot^(-1) (-1/sqrt3)`, then

A

`a-b=17pi//12`

B

`a+b=17pi//12`

C

`a+b=-7pi//12`

D

`a-b=pi//12`

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -3|75 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -4 Level -I|4 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

tan^(-1)(sqrt3)-cot^(-1)(-sqrt3)

If a=sin^(-1)(-(sqrt(2))/(2))+cos^(-1)(-(1)/(2)) and b=tan^(-1)(-sqrt(3))-cot^(-1)(-(1)/(sqrt(3))) ,then find a-b " and " a+b

sin^(-1) (-1/2) + tan^(-1) (sqrt3) =

a=sin^(-1)(-(sqrt(2))/(2))+cos^(-1)(-(1)/(2)) and b=tan^(-1)(-sqrt(3))-cot^(-1)(-(1)/(sqrt(3))) ,then

1. sin^(-1) (-1/2) = 2. tan^(-1) (-sqrt3) =

The value of sin ^(-1) (-(1)/(sqrt2)) + cos ^(-1) (-(1)/(2)) - tan ^(-1) (-sqrt3) + cot ^(-1) (-(1)/(sqrt3)) is

1. sin^(-1) (1/sqrt2) 2. cos^(-1) (sqrt3/2)