Home
Class 12
MATHS
The value of k(k >0) such that the l...

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

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

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 8 (b) 4 (c) 12 (d) 16

The length of the longest interval, in which the function 3sin x-4 sin^3x is increasing is

The length of the longest interval in which the function y=sin2x-2sinx increases for x in [0, pi] is

The length of the longest interval in which the function f(x)=x^(3)-3a^(2)x+4 is decreasing is (AA a gt 0)

The length of the longest interval in which the function 3sinx-4sin^3x is increasing is pi/3 (b) pi/2 (c) (3pi)/2 (d) pi

The length of the largest continuous interval in which the function f(x)=4x-tan2x is monotonic is (a) pi/2 (b) pi/4 (c) pi/8 (d) pi/(16)

The value of k for which the function f(x)={(sin(5x)/(3x)+cosx, xne0),(k, x=0):} is continuous at x=0 is

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.

If the function f(x)={(cosx)^(1/x),x!=0k ,x=0 is continuous at x=0 , then the value of k is 0 (b) 1 (c) -1 (d) e

On the interval [-(pi)/(4) , (pi)/(4)] , the function f (x) = sqrt(1 + sin^(2) x) has a maximum value of