Home
Class 12
MATHS
The interval in which cos^-1x gt sin^-1x...

The interval in which `cos^-1x gt sin^-1x` is

A

`(-oo,1)`

B

`(-1,1)`

C

`x in [-1, (1)/(sqrt(2)))`

D

[-1, 1]

Text Solution

Verified by Experts

The correct Answer is:
C
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

If cos^(-1)x gt sin^(-1) x , then

Find values of x on the interval [0,pi] for which cos x le sin 2x .

Separate the intervals [0, (pi)/(2)] into sub intervals in which f(x)= sin^(4)x + cos^(4)x is increasing or decreasing.

If cos^(-1)x >sin^(-1)x , then

Let f(x)=sin^(-1)((2phi(x))/(1+phi^(2)(x))) . Find the interval in which f(x) is increasing or decreasing.

It is given that A=(tan^(-1)x)^(3)+(cot^(-1)x)^(3) where x gt 0 and B=(cos^(-1)t)^(2)+(sin^(-1)t)^(2) where t in [0, (1)/(sqrt(2))] , and sin^(-1)x+cos^(-1)x=(pi)/(2) for -1 le x le 1 and tan^(-1)x +cot^(-1)x=(pi)/(2) for x in R . The interval in which A lies is :

Separate the interval [0,\ pi//2] into sub-intervals in which f(x)=sin^4x+cos^4x is increasing or decreasing.

Separate the interval [0,pi/2] into sub intervals in which function f(x)=sin^4(x)+cos^4(x) is strictly increasing or decreasing.

The value of k(k >0) such that the length of the longest interval in which the function f(x)=sin^(-1)|sink x|+cos^(-1)(cosk x) is constant is pi/4 is/ are (a)8 (b) 4 (c) 12 (d) 16

The intergral int x cos^(-1) ((1-x^(2))/(1+x^(2))) dx, (x gt 0) is equal to