Home
Class 12
MATHS
Show that 2 sin x + than x ge 3x all x i...

Show that `2 sin x + than x ge 3x all x in (0, pi/20).

Text Solution

Verified by Experts

The correct Answer is:
`2 sin x + tan x gt "3x for all x" in (0, pi//2)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise ODISHA BUREAU.S TEXTBOOK SOLUTIONS (EXERCISE 8 (D))|40 Videos
  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise ODISHA BUREAU.S TEXTBOOK SOLUTIONS (EXERCISE 8 (E))|20 Videos
  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise ODISHA BUREAU.S TEXTBOOK SOLUTIONS (EXERCISE 8 (B))|25 Videos
  • AREA UNDER PLANE CURVES

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (LONG ANWER TYPE QUESTIONS)|15 Videos

Similar Questions

Explore conceptually related problems

Show that 2sinx+tanx ge 3x for all x epsilon(0,(pi)/(2)) .

Show that 2sinx+3tanxgt3x for all xin(0,frac[pi][2])

Show that f(x) = x - sin x is increasing for all x in R .

Show that x/(1+ x tan x,) x in (0,pi/2) is maximum when x = cos x.

Show that sin x (1 + cos x), x in |0, pi| is maximum value at x = (pi)/(3) .

Find the intervals in which the function given by f(x) = sin 3x, x in [0, (pi)/(2)] is (i) increasing (ii) decreasing

Find the interval where the function f(x) = sin x + cos x, x in [0, 2pi] is increasing.