Home
Class 12
MATHS
The set of values of theta satisfying th...

The set of values of `theta` satisfying the inequatioin `2sin^(2)theta-5sintheta+2 gt 0, ` where `o lt theta lt 2pi`, is

A

`(0,(pi)/(6)) cup ((5pi)/(6),2pi)`

B

`[0,(pi)/(6)] cup [(5pi)/(6),2pi]`

C

`[0,(pi)/(3)] cup [(2pi)/(3),2pi]`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|23 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

Show that no value of theta can satisfy the equations: 6 sec^2theta-5sectheta-1=0

Show that no value of sec theta can satisfy the equation: 6 sec^2 theta- 5 sec theta+1=0 .

Find all the value of theta satisfying the equation , sin 7 theta = sin theta + sin 3 theta such that 0 le theta le pi

Solve : 2 cos^(2)theta + sin theta le 2 , where pi//2 le theta le 3pi//2.

Find all the values of theta satisfying 0lt theta lt pi and tan^2 theta+cot^2 theta=2 .

In a Delta ABC, the angles A and B are two values of theta satisfying sqrt3 cos theta + sin theta =k, where |K| lt 2, then show triangles is obtuse angled.

The number of solutions of the pair of equations: 2 sin^2 theta- cos 2 theta = 0, 2 cos^2 theta - 3 sin theta=0 in the interval [0, 2 pi] is :

The Ieast value of 2sin^2theta + 3 cos^2 theta is

The number of solutions of the pair of equations 2sin^2theta-cos2theta=0 2cos^2theta-3sintheta=0 in the interval [0,2pi] is

If the solutions for theta from the equation sin^(2) theta-2sin theta + lambda = 0 lie in cup_( n in z) (2 n pi - pi/6, (2n+1) pi + (pi)/(6)) . Then, find the possible set values of lambda .