Home
Class 11
MATHS
If |tan x| = tan x + (1)/(cos x) and x i...

If `|tan x| = tan x + (1)/(cos x)` and `x in [0, 2pi]`, then find values of x

Text Solution

Verified by Experts

The correct Answer is:
`x = (11 pi)/(6)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SOLVED PROBLEMS |18 Videos
  • TRANSFORMATION OF AXES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES (EXERCISE -2 (A)|24 Videos
  • TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 6(F)|20 Videos

Similar Questions

Explore conceptually related problems

Show that tan x gt x for all x in [0, pi//2) .

Let P(x) = ((1- cos 2 x + sin 2x)/(1+ cos2x + sin2x))^(2) + ((1+ cot x + cot^(2) x)/( 1+ tan x+ tan^(2) x) ) , then the minimum value of P(x) equals

The number of solutions of the equation cos 6 x + tan^(2) x + cos 6 x tan ^(2) x = 1 , in the interval [0, 2 pi] is

If 0 lt x lt pi , and cos x+ sin x =1//2 , then tan x=

If tan x + tan 2x+tan 3x=tan x tan 2x tan 3x then |sin 3x+cos 3x|

Let |{:(tan^(-1)x, tan^(-1)2x, tan^(-1)3x), (tan^(-1)3x, tan^(-1)x, tan^(-1)2x), (tan^(-1)2x, tan^(-1)3x, tan^(-1)x):}|=0 , then the number of values of x satisfying the equation is

Find the number of solutions of the equation tan x + sec x = 2 cos x, cos x ne 0 lying in the interval (0, pi)

If sin^(2) x tan x + cos ^(2) x cot x - sin 2 x = 1 + tan x + cot x x in (0, pi) then x =

If (sin x)/(sin y)=1/2, (cos x)/(cos y)=3/2 = 3/2 , where x, y in (0,pi/4) , then the value of tan(x+y) is equal to: