Home
Class 12
MATHS
If xge0 and theta=sin^(-1)x+cos^(-1)x-ta...

If `xge0` and `theta=sin^(-1)x+cos^(-1)x-tan^(-1)x`, then

A

`theta le (pi)/(2)`

B

`theta ge (pi)/(2) `

C

`theta=(pi)/(4)`

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 TRIGONOMETRY

    VMC MODULES ENGLISH|Exercise LEVEL-2|58 Videos

  • INVERSE TRIGONOMETRY

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|15 Videos

  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|25 Videos

  • JEE MAIN - 5

    VMC MODULES ENGLISH|Exercise PART III : MATHEMATICS (SECTION-2)|5 Videos

Similar Questions

Explore conceptually related problems

lf x >=0 and theta = sin^(-1)x + cos^(-1)x-tan^(-1) x , then

If a le sin^(-1)x +cos^(-1)x+tan^(-1)x le b , then:

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

sin^-1(cos x)+tan ^-1(cot x)

"If"sin{cot^(-1)(x+1)}=cos(tan^(-1)x), then find x.

Draw the graph of y=tan^(-1)x+cos^(-1)x+sin^(-1)x .

If alpha = sin^(-1) (cos(sin^-1) x)) and beta = cos^(-1) (sin (cos^(-1) x)) , then find tan alpha. tan beta.

The maximum and minimum values of f(x)=sin^(-1)x+cos^(-1)x+tan^(-1)x respectively is

Statement -1: If a is twice the tangent of the arithmetic mean of sin^(-1)x and cos^(-1) x , b the geometric mean of tanx and cot x then x^(2)-ax+b=0rarr x=1 statement-2: tan((sin^(-1)x+cos^(-1)x)/(2))=1

Evaluate: sin(cot^(-1)x) (ii) cos(tan^(-1)x)