Home
Class 12
MATHS
If 0 le x le 1 and theta = sin^(-1) x + ...

If `0 le x le 1` and `theta = sin^(-1) x + cos^(-1) x - tan^(-1) x`, then

A

`theta=pi/4`

B

`theta ge pi/4`

C

` theta le pi/2`

D

`pi/4 le theta le pi/2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (LEVEL - II)|20 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise AIEEE/JEE Examinations|2 Videos

  • INDEFINITE INTEGERALS

    MODERN PUBLICATION|Exercise RCQs Recent Competitive Questions (Questions From Karnataka CET & COMED)|12 Videos

  • LIMIT AND CONTINUITY

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|7 Videos

Similar Questions

Explore conceptually related problems

If alpha le 2 sin^(-1) x + cos^(-1) x le beta , then

If alpha lt 2 sin^(-1) x +cos^(-1)x le beta , then

If a le tan ^(-1) x+cot ^(-1) x+sin ^(-1) x le b then

If sin ^(-1) x+cos ^(-1)(1-x)=0 then x=

cos[tan^(-1) {sin(cot^(-1) x)}] =

If |x -2| le 1 , then

If 0 le x le 2pi , then 2^(cosec^(2) x) sqrt(1/2 y^(2) -y+1) le sqrt(2)

If 0 le x le 3 pi , 0 le y le 3 pi and cos x * sin y=1 , then find the possible number of values of the orederd pair (x,y) .

If |x-2|le 1 , then

lim_(x rarr 0) (tan (sin^(-1) 3x))/(sin^(-1) (2 tan x)) =