Home
Class 12
MATHS
If 0 lt x lt pi/2 then...

If `0 lt x lt pi/2` then

A

`cos (sin x) gt cos x `

B

`cos (sin x) lt cos x`

C

`cos(sin x)= sin (cos x )`

D

`cos (sin x ) lt sin ( cos x)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INCREASING AND DECREASING FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|36 Videos
  • HEIGHTS AND DISTANCES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|45 Videos
  • INDEFINITE INTEGRALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

If 0 lt alpha lt pi/2 then show that tanalpha+cotalphagtsinalpha+cosalpha

If f(x)= int_(0^(sinx) cos^(-1)t dt +int_(0)^(cosx) sin^(-1)t dt, 0 lt x lt (pi)/(2) then f(pi//4) is equal to

If y=cot^(-1)[(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx))] , (0 lt x lt pi/2) , then (dy)/(dx)=

If y=cot^(-1)[(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx))] , (0 lt x lt pi/2) , then (dy)/(dx)=

If 0 lt x lt (pi)/(2) and cos x = 0.34 , what is the value of sin ((x)/(2)) ?

If 0 lt x lt (pi)/(2) and tan x = (a)/(2) , then cos x =

If 0 lt x lt pi/2 show that cosxgt1- x^2/2

If 0 lt x lt (pi)/(2) and tan 5x = 3 , to the nearest tenth , what is the value of tan x ?

If 0 lt x lt pi/2 and sin^(n) x + cos^(n) x ge 1 , then

Statement-1 f(x)=(sin x)/(x) lt 1 for 0 lt x lt pi/2 Statement -2 f(x)=(sin x)/(x) is decreasing function on (0,pi//2)