Home
Class 12
MATHS
The general value of theta satisfying th...

The general value of `theta` satisfying the equation `2sin^(2)theta-3sintheta-2=0` is

A

`npi+(-1)^(n)(7pi)/(6)`

B

`npi+(-1)^(n)(pi)/(2)`

C

`n pi + (-1)^(n) (5 pi)/(6)`

D

`npi+(-1)^(n)(7pi)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
A
`2sin^(2)theta-3sintheta-2=0`
`rArr(2sintehta+1)(sintheta-2)=0`
`rArrsintheta=-(1)/(2)rArrtheta=(7pi)/(6)" " [becausesinthetane2]`
`rArrsintheta=sin(-(pi)/(6))rArrtheta=npi+(-1)^(n)((7pi)/(6))`
Promotional Banner

Similar Questions

Explore conceptually related problems

The general value of theta satisfying the equation 2sin^(2) theta -3 sin theta - 2=0 , is .

The general value of theta satisfying the equation tan^(2)theta+sec2 theta=1 is

The set of values of theta satisfying the inequation 2sin^(2)theta-5sin theta+2>0, when theta in(0,2 pi) is

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

Find the mos general values of theta satisfying the equation :sin theta=-1

Most general value of theta satisfying equation tan^(2)theta+sec2 theta=1 is

General value of theta satisfying the equation tan^(2) theta + "sec" 2theta = 1 is.....

A value of theta satisfying 4cos^(2)theta sin theta-2sin^(2)theta=3sin theta is