Home
Class 12
MATHS
If 2 cos x lt sqrt(3) and x in [-pi, pi...

If ` 2 cos x lt sqrt(3) and x in [-pi, pi]` , then find the solution set for x .

Text Solution

Verified by Experts

The correct Answer is:
`[-pi,-(pi)/(6)) cup ( (pi)/6, pi]`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|60 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|25 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise For Session 3|10 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|44 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 Videos

Similar Questions

Explore conceptually related problems

If cos x- sin x ge 1 and 0 le x le 2pi , then find the solution set for x .

if cos x= (-sqrt(15))/(4) " and " (pi)/(2) lt x lt pi find the value of sin x .

Let f(x) = {{:(-2 sin x,"for",-pi le x le - (pi)/(2)),(a sin x + b,"for",-(pi)/(2) lt x lt (pi)/(2)),(cos x,"for",(pi)/(2) le x le pi):} . If f is continuous on [-pi, pi) , then find the values of a and b.

If sqrt(3) ( cos^2 x) = ( sqrt(3)-1) cos x +1, the numbers of solution of the given equation when x in [0,pi/2] is

If sin x=(sqrt(5))/(3) "and " .(pi)/(3) lt x lt pi find the values of (i) " sin " (x)/(2) " " (ii) " cos " (x)/(2) " " (iii) " tan " (x)/(2)

If cos x=-(sqrt(15))/(4) and (pi)/(2)

If sec x =- (13)/(12) and (pi)/(2) lt x lt pi , find the value of sin 2x

If cos x=(-3)/(5) " and " pi lt x lt .(3pi)/(2) find the value of (i) "sin 2x "" ""(ii) cos 2x "" ""(iii) tan 2x "

If tan x = -(4)/(3), (pi)/(2) lt x lt pi , then find the value of sin(x/2), cos(x/2) and tan(x/2) .