The function f(x)""=""t a n^(-1)(sinx""+...

The function `f(x)""=""t a n^(-1)(sinx""+""cosx)` is an increasing function in (1) `(pi/4,pi/2)` (2) `(-pi/2,pi/4)` (3) `(0,pi/2)` (4) `(-pi/2,pi/2)`

AI Generated Solution

APPLICATION OF INTEGRALS
JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|6 Videos

Similar Questions

Explore conceptually related problems

The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in (-pi/2,pi/4) (b) (0,pi/2) (-pi/2,pi/2) (d) (pi/4,pi/2)

Show that f(x)=tan^(-1)(sinx+cosx) is decreasing function on the interval (pi/4,pi/2)dot

Show that f(x)=sinx-cosx is an increasing function on (-pi//4,\ pi//4) .

Show that f(x)=tan^(-1)(sinx+cosx) is a decreasing function on the interval on (pi//4,\ pi//2) .

Show that f(x)=sinx is an increasing function on (-pi//2,\ pi//2) .

Show that f(x)=tanx is an increasing function on (-pi//2,\ pi//2) .

Show that f(x)=cos(2x+pi//4) is an increasing function on (3pi//8,\ 7pi//8) .

Show that f(x)=cos(2x+pi/4) is an increasing function on (3pi//8,7pi//8)dot

Show that the function f(x)=cot^(-1)(sinx+cosx) is decreasing on (0,\ pi//4) and increasing on (pi//4,\ pi//2) .

Show that f(x) =cos (2x+(pi)/(4)) is an increasing function on ((3pi)/(8), (7pi)/(8))